Finding the Third Proportional to 102,738,978,018 and 157,179,133,107

Step by Step Solution

1. Step 1: Write the proportion equation
   102,738,978,018 : 157,179,133,107 = 157,179,133,107 : x
2. Step 2: Convert to fraction form
   102,738,978,018/157,179,133,107 = 157,179,133,107/x
3. Step 3: Cross multiply
   102,738,978,018x = 157,179,133,107 × 157,179,133,107
4. Step 4: Simplify right side
   102,738,978,018x = 24,705,279,884,268,025,151,488
5. Step 5: Solve for x
   x = 24,705,279,884,268,025,151,488/102,738,978,018
6. Step 6: Final answer
   x = 240,466,474,953.06