Finding the Third Proportional to 137,721 and 291,978

Step by Step Solution

1. Step 1: Write the proportion equation
   137,721 : 291,978 = 291,978 : x
2. Step 2: Convert to fraction form
   137,721/291,978 = 291,978/x
3. Step 3: Cross multiply
   137,721x = 291,978 × 291,978
4. Step 4: Simplify right side
   137,721x = 85,251,152,484
5. Step 5: Solve for x
   x = 85,251,152,484/137,721
6. Step 6: Final answer
   x = 619,013.46