Finding the Third Proportional to 78,057,990,677 and 105,318,557,014

Step by Step Solution

1. Step 1: Write the proportion equation
   78,057,990,677 : 105,318,557,014 = 105,318,557,014 : x
2. Step 2: Convert to fraction form
   78,057,990,677/105,318,557,014 = 105,318,557,014/x
3. Step 3: Cross multiply
   78,057,990,677x = 105,318,557,014 × 105,318,557,014
4. Step 4: Simplify right side
   78,057,990,677x = 11,091,998,451,511,169,384,448
5. Step 5: Solve for x
   x = 11,091,998,451,511,169,384,448/78,057,990,677
6. Step 6: Final answer
   x = 142,099,461,635.00