Finding the Third Proportional to 359,254.50 and 499,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,254.50 : 499,513.50 = 499,513.50 : x
2. Step 2: Convert to fraction form
   359,254.50/499,513.50 = 499,513.50/x
3. Step 3: Cross multiply
   359,254.50x = 499,513.50 × 499,513.50
4. Step 4: Simplify right side
   359,254.50x = 249,513,736,682.25
5. Step 5: Solve for x
   x = 249,513,736,682.25/359,254.50
6. Step 6: Final answer
   x = 694,531.97