Finding the Third Proportional to 147,566.25 and 326,142

Step by Step Solution

1. Step 1: Write the proportion equation
   147,566.25 : 326,142 = 326,142 : x
2. Step 2: Convert to fraction form
   147,566.25/326,142 = 326,142/x
3. Step 3: Cross multiply
   147,566.25x = 326,142 × 326,142
4. Step 4: Simplify right side
   147,566.25x = 106,368,604,164
5. Step 5: Solve for x
   x = 106,368,604,164/147,566.25
6. Step 6: Final answer
   x = 720,819.32