Finding the Third Proportional to 252,598.50 and 542,376

Step by Step Solution

1. Step 1: Write the proportion equation
   252,598.50 : 542,376 = 542,376 : x
2. Step 2: Convert to fraction form
   252,598.50/542,376 = 542,376/x
3. Step 3: Cross multiply
   252,598.50x = 542,376 × 542,376
4. Step 4: Simplify right side
   252,598.50x = 294,171,725,376
5. Step 5: Solve for x
   x = 294,171,725,376/252,598.50
6. Step 6: Final answer
   x = 1,164,582.23