Finding the Third Proportional to 99,820.50 and 146,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99,820.50 : 146,007.75 = 146,007.75 : x
2. Step 2: Convert to fraction form
   99,820.50/146,007.75 = 146,007.75/x
3. Step 3: Cross multiply
   99,820.50x = 146,007.75 × 146,007.75
4. Step 4: Simplify right side
   99,820.50x = 21,318,263,060.06
5. Step 5: Solve for x
   x = 21,318,263,060.06/99,820.50
6. Step 6: Final answer
   x = 213,565.98