Finding the Third Proportional to 120,123,665 and 262,266,046

Step by Step Solution

1. Step 1: Write the proportion equation
   120,123,665 : 262,266,046 = 262,266,046 : x
2. Step 2: Convert to fraction form
   120,123,665/262,266,046 = 262,266,046/x
3. Step 3: Cross multiply
   120,123,665x = 262,266,046 × 262,266,046
4. Step 4: Simplify right side
   120,123,665x = 68,783,478,884,474,112
5. Step 5: Solve for x
   x = 68,783,478,884,474,112/120,123,665
6. Step 6: Final answer
   x = 572,605,563.48