Finding the Third Proportional to 137,713 and 291,960

Step by Step Solution

1. Step 1: Write the proportion equation
   137,713 : 291,960 = 291,960 : x
2. Step 2: Convert to fraction form
   137,713/291,960 = 291,960/x
3. Step 3: Cross multiply
   137,713x = 291,960 × 291,960
4. Step 4: Simplify right side
   137,713x = 85,240,641,600
5. Step 5: Solve for x
   x = 85,240,641,600/137,713
6. Step 6: Final answer
   x = 618,973.09