Finding the Third Proportional to 137,400 and 291,648

Step by Step Solution

1. Step 1: Write the proportion equation
   137,400 : 291,648 = 291,648 : x
2. Step 2: Convert to fraction form
   137,400/291,648 = 291,648/x
3. Step 3: Cross multiply
   137,400x = 291,648 × 291,648
4. Step 4: Simplify right side
   137,400x = 85,058,555,904
5. Step 5: Solve for x
   x = 85,058,555,904/137,400
6. Step 6: Final answer
   x = 619,057.90