Finding the Third Proportional to 462,780 and 699,099

Step by Step Solution

1. Step 1: Write the proportion equation
   462,780 : 699,099 = 699,099 : x
2. Step 2: Convert to fraction form
   462,780/699,099 = 699,099/x
3. Step 3: Cross multiply
   462,780x = 699,099 × 699,099
4. Step 4: Simplify right side
   462,780x = 488,739,411,801
5. Step 5: Solve for x
   x = 488,739,411,801/462,780
6. Step 6: Final answer
   x = 1,056,094.50