Finding the Third Proportional to 137,540.25 and 280,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,540.25 : 280,912.50 = 280,912.50 : x
2. Step 2: Convert to fraction form
   137,540.25/280,912.50 = 280,912.50/x
3. Step 3: Cross multiply
   137,540.25x = 280,912.50 × 280,912.50
4. Step 4: Simplify right side
   137,540.25x = 78,911,832,656.25
5. Step 5: Solve for x
   x = 78,911,832,656.25/137,540.25
6. Step 6: Final answer
   x = 573,736.29