Finding the Third Proportional to 137,724 and 291,983

Step by Step Solution

1. Step 1: Write the proportion equation
   137,724 : 291,983 = 291,983 : x
2. Step 2: Convert to fraction form
   137,724/291,983 = 291,983/x
3. Step 3: Cross multiply
   137,724x = 291,983 × 291,983
4. Step 4: Simplify right side
   137,724x = 85,254,072,289
5. Step 5: Solve for x
   x = 85,254,072,289/137,724
6. Step 6: Final answer
   x = 619,021.17