Finding the Third Proportional to 98,904 and 146,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,904 : 146,182.50 = 146,182.50 : x
2. Step 2: Convert to fraction form
   98,904/146,182.50 = 146,182.50/x
3. Step 3: Cross multiply
   98,904x = 146,182.50 × 146,182.50
4. Step 4: Simplify right side
   98,904x = 21,369,323,306.25
5. Step 5: Solve for x
   x = 21,369,323,306.25/98,904
6. Step 6: Final answer
   x = 216,061.26