Finding the Third Proportional to 137,711.25 and 291,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,711.25 : 291,955.50 = 291,955.50 : x
2. Step 2: Convert to fraction form
   137,711.25/291,955.50 = 291,955.50/x
3. Step 3: Cross multiply
   137,711.25x = 291,955.50 × 291,955.50
4. Step 4: Simplify right side
   137,711.25x = 85,238,013,980.25
5. Step 5: Solve for x
   x = 85,238,013,980.25/137,711.25
6. Step 6: Final answer
   x = 618,961.88