Finding the Third Proportional to 137,404 and 291,656

Step by Step Solution

1. Step 1: Write the proportion equation
   137,404 : 291,656 = 291,656 : x
2. Step 2: Convert to fraction form
   137,404/291,656 = 291,656/x
3. Step 3: Cross multiply
   137,404x = 291,656 × 291,656
4. Step 4: Simplify right side
   137,404x = 85,063,222,336
5. Step 5: Solve for x
   x = 85,063,222,336/137,404
6. Step 6: Final answer
   x = 619,073.84