Finding the Third Proportional to 98,564.50 and 215,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,564.50 : 215,787.50 = 215,787.50 : x
2. Step 2: Convert to fraction form
   98,564.50/215,787.50 = 215,787.50/x
3. Step 3: Cross multiply
   98,564.50x = 215,787.50 × 215,787.50
4. Step 4: Simplify right side
   98,564.50x = 46,564,245,156.25
5. Step 5: Solve for x
   x = 46,564,245,156.25/98,564.50
6. Step 6: Final answer
   x = 472,424.10