Finding the Third Proportional to 361,840 and 532,300

Step by Step Solution

1. Step 1: Write the proportion equation
   361,840 : 532,300 = 532,300 : x
2. Step 2: Convert to fraction form
   361,840/532,300 = 532,300/x
3. Step 3: Cross multiply
   361,840x = 532,300 × 532,300
4. Step 4: Simplify right side
   361,840x = 283,343,290,000
5. Step 5: Solve for x
   x = 283,343,290,000/361,840
6. Step 6: Final answer
   x = 783,062.38