Finding the Third Proportional to 99,769.50 and 145,932.75

Step by Step Solution

1. Step 1: Write the proportion equation
   99,769.50 : 145,932.75 = 145,932.75 : x
2. Step 2: Convert to fraction form
   99,769.50/145,932.75 = 145,932.75/x
3. Step 3: Cross multiply
   99,769.50x = 145,932.75 × 145,932.75
4. Step 4: Simplify right side
   99,769.50x = 21,296,367,522.56
5. Step 5: Solve for x
   x = 21,296,367,522.56/99,769.50
6. Step 6: Final answer
   x = 213,455.69