Finding the Third Proportional to 342,322 and 532,140

Step by Step Solution

1. Step 1: Write the proportion equation
   342,322 : 532,140 = 532,140 : x
2. Step 2: Convert to fraction form
   342,322/532,140 = 532,140/x
3. Step 3: Cross multiply
   342,322x = 532,140 × 532,140
4. Step 4: Simplify right side
   342,322x = 283,172,979,600
5. Step 5: Solve for x
   x = 283,172,979,600/342,322
6. Step 6: Final answer
   x = 827,212.33