Finding the Third Proportional to 321,592 and 472,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,592 : 472,753.50 = 472,753.50 : x
2. Step 2: Convert to fraction form
   321,592/472,753.50 = 472,753.50/x
3. Step 3: Cross multiply
   321,592x = 472,753.50 × 472,753.50
4. Step 4: Simplify right side
   321,592x = 223,495,871,762.25
5. Step 5: Solve for x
   x = 223,495,871,762.25/321,592
6. Step 6: Final answer
   x = 694,967.14