Finding the Third Proportional to 99,816.75 and 146,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,816.75 : 146,788.50 = 146,788.50 : x
2. Step 2: Convert to fraction form
   99,816.75/146,788.50 = 146,788.50/x
3. Step 3: Cross multiply
   99,816.75x = 146,788.50 × 146,788.50
4. Step 4: Simplify right side
   99,816.75x = 21,546,863,732.25
5. Step 5: Solve for x
   x = 21,546,863,732.25/99,816.75
6. Step 6: Final answer
   x = 215,864.21