Finding the Third Proportional to 66,825 and 146,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,825 : 146,785.50 = 146,785.50 : x
2. Step 2: Convert to fraction form
   66,825/146,785.50 = 146,785.50/x
3. Step 3: Cross multiply
   66,825x = 146,785.50 × 146,785.50
4. Step 4: Simplify right side
   66,825x = 21,545,983,010.25
5. Step 5: Solve for x
   x = 21,545,983,010.25/66,825
6. Step 6: Final answer
   x = 322,423.99