Finding the Third Proportional to 147,942.50 and 323,563

Step by Step Solution

1. Step 1: Write the proportion equation
   147,942.50 : 323,563 = 323,563 : x
2. Step 2: Convert to fraction form
   147,942.50/323,563 = 323,563/x
3. Step 3: Cross multiply
   147,942.50x = 323,563 × 323,563
4. Step 4: Simplify right side
   147,942.50x = 104,693,014,969
5. Step 5: Solve for x
   x = 104,693,014,969/147,942.50
6. Step 6: Final answer
   x = 707,660.17