Finding the Third Proportional to 96,750 and 146,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,750 : 146,584.50 = 146,584.50 : x
2. Step 2: Convert to fraction form
   96,750/146,584.50 = 146,584.50/x
3. Step 3: Cross multiply
   96,750x = 146,584.50 × 146,584.50
4. Step 4: Simplify right side
   96,750x = 21,487,015,640.25
5. Step 5: Solve for x
   x = 21,487,015,640.25/96,750
6. Step 6: Final answer
   x = 222,088.02