Finding the Third Proportional to 116,427 and 175,552

Step by Step Solution

1. Step 1: Write the proportion equation
   116,427 : 175,552 = 175,552 : x
2. Step 2: Convert to fraction form
   116,427/175,552 = 175,552/x
3. Step 3: Cross multiply
   116,427x = 175,552 × 175,552
4. Step 4: Simplify right side
   116,427x = 30,818,504,704
5. Step 5: Solve for x
   x = 30,818,504,704/116,427
6. Step 6: Final answer
   x = 264,702.39