Finding the Third Proportional to 78,723,684 and 105,977,655

Step by Step Solution

1. Step 1: Write the proportion equation
   78,723,684 : 105,977,655 = 105,977,655 : x
2. Step 2: Convert to fraction form
   78,723,684/105,977,655 = 105,977,655/x
3. Step 3: Cross multiply
   78,723,684x = 105,977,655 × 105,977,655
4. Step 4: Simplify right side
   78,723,684x = 11,231,263,359,299,024
5. Step 5: Solve for x
   x = 11,231,263,359,299,024/78,723,684
6. Step 6: Final answer
   x = 142,666,892.46