Finding the Third Proportional to 342,264 and 532,064

Step by Step Solution

1. Step 1: Write the proportion equation
   342,264 : 532,064 = 532,064 : x
2. Step 2: Convert to fraction form
   342,264/532,064 = 532,064/x
3. Step 3: Cross multiply
   342,264x = 532,064 × 532,064
4. Step 4: Simplify right side
   342,264x = 283,092,100,096
5. Step 5: Solve for x
   x = 283,092,100,096/342,264
6. Step 6: Final answer
   x = 827,116.20