Finding the Third Proportional to 146,418 and 221,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,418 : 221,472.50 = 221,472.50 : x
2. Step 2: Convert to fraction form
   146,418/221,472.50 = 221,472.50/x
3. Step 3: Cross multiply
   146,418x = 221,472.50 × 221,472.50
4. Step 4: Simplify right side
   146,418x = 49,050,068,256.25
5. Step 5: Solve for x
   x = 49,050,068,256.25/146,418
6. Step 6: Final answer
   x = 335,000.26