Finding the Third Proportional to 359,964 and 514,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,964 : 514,417.50 = 514,417.50 : x
2. Step 2: Convert to fraction form
   359,964/514,417.50 = 514,417.50/x
3. Step 3: Cross multiply
   359,964x = 514,417.50 × 514,417.50
4. Step 4: Simplify right side
   359,964x = 264,625,364,306.25
5. Step 5: Solve for x
   x = 264,625,364,306.25/359,964
6. Step 6: Final answer
   x = 735,143.97