Finding the Third Proportional to 137,384 and 291,616

Step by Step Solution

1. Step 1: Write the proportion equation
   137,384 : 291,616 = 291,616 : x
2. Step 2: Convert to fraction form
   137,384/291,616 = 291,616/x
3. Step 3: Cross multiply
   137,384x = 291,616 × 291,616
4. Step 4: Simplify right side
   137,384x = 85,039,891,456
5. Step 5: Solve for x
   x = 85,039,891,456/137,384
6. Step 6: Final answer
   x = 618,994.14