Finding the Third Proportional to 321,644 and 473,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,644 : 473,110.50 = 473,110.50 : x
2. Step 2: Convert to fraction form
   321,644/473,110.50 = 473,110.50/x
3. Step 3: Cross multiply
   321,644x = 473,110.50 × 473,110.50
4. Step 4: Simplify right side
   321,644x = 223,833,545,210.25
5. Step 5: Solve for x
   x = 223,833,545,210.25/321,644
6. Step 6: Final answer
   x = 695,904.62