Finding the Third Proportional to 220,509 and 329,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   220,509 : 329,899.50 = 329,899.50 : x
2. Step 2: Convert to fraction form
   220,509/329,899.50 = 329,899.50/x
3. Step 3: Cross multiply
   220,509x = 329,899.50 × 329,899.50
4. Step 4: Simplify right side
   220,509x = 108,833,680,100.25
5. Step 5: Solve for x
   x = 108,833,680,100.25/220,509
6. Step 6: Final answer
   x = 493,556.64