Finding the Third Proportional to 359,749 and 527,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,749 : 527,959.50 = 527,959.50 : x
2. Step 2: Convert to fraction form
   359,749/527,959.50 = 527,959.50/x
3. Step 3: Cross multiply
   359,749x = 527,959.50 × 527,959.50
4. Step 4: Simplify right side
   359,749x = 278,741,233,640.25
5. Step 5: Solve for x
   x = 278,741,233,640.25/359,749
6. Step 6: Final answer
   x = 774,821.43