Finding the Third Proportional to 147,564 and 326,139

Step by Step Solution

1. Step 1: Write the proportion equation
   147,564 : 326,139 = 326,139 : x
2. Step 2: Convert to fraction form
   147,564/326,139 = 326,139/x
3. Step 3: Cross multiply
   147,564x = 326,139 × 326,139
4. Step 4: Simplify right side
   147,564x = 106,366,647,321
5. Step 5: Solve for x
   x = 106,366,647,321/147,564
6. Step 6: Final answer
   x = 720,817.05