Finding the Third Proportional to 77,536,120 and 120,042,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,536,120 : 120,042,978 = 120,042,978 : x
2. Step 2: Convert to fraction form
   77,536,120/120,042,978 = 120,042,978/x
3. Step 3: Cross multiply
   77,536,120x = 120,042,978 × 120,042,978
4. Step 4: Simplify right side
   77,536,120x = 14,410,316,567,108,484
5. Step 5: Solve for x
   x = 14,410,316,567,108,484/77,536,120
6. Step 6: Final answer
   x = 185,852,949.14