Finding the Third Proportional to 586,050,766,967 and 1,269,462,455,156

Step by Step Solution

1. Step 1: Write the proportion equation
   586,050,766,967 : 1,269,462,455,156 = 1,269,462,455,156 : x
2. Step 2: Convert to fraction form
   586,050,766,967/1,269,462,455,156 = 1,269,462,455,156/x
3. Step 3: Cross multiply
   586,050,766,967x = 1,269,462,455,156 × 1,269,462,455,156
4. Step 4: Simplify right side
   586,050,766,967x = 1,611,534,925,050,699,325,636,608
5. Step 5: Solve for x
   x = 1,611,534,925,050,699,325,636,608/586,050,766,967
6. Step 6: Final answer
   x = 2,749,821,373,651.48