Finding the Third Proportional to 90,657 and 140,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,657 : 140,215.50 = 140,215.50 : x
2. Step 2: Convert to fraction form
   90,657/140,215.50 = 140,215.50/x
3. Step 3: Cross multiply
   90,657x = 140,215.50 × 140,215.50
4. Step 4: Simplify right side
   90,657x = 19,660,386,440.25
5. Step 5: Solve for x
   x = 19,660,386,440.25/90,657
6. Step 6: Final answer
   x = 216,865.62