Finding the Third Proportional to 321,061.50 and 493,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,061.50 : 493,663.50 = 493,663.50 : x
2. Step 2: Convert to fraction form
   321,061.50/493,663.50 = 493,663.50/x
3. Step 3: Cross multiply
   321,061.50x = 493,663.50 × 493,663.50
4. Step 4: Simplify right side
   321,061.50x = 243,703,651,232.25
5. Step 5: Solve for x
   x = 243,703,651,232.25/321,061.50
6. Step 6: Final answer
   x = 759,055.98