Finding the Third Proportional to 83,427 and 173,757

Step by Step Solution

1. Step 1: Write the proportion equation
   83,427 : 173,757 = 173,757 : x
2. Step 2: Convert to fraction form
   83,427/173,757 = 173,757/x
3. Step 3: Cross multiply
   83,427x = 173,757 × 173,757
4. Step 4: Simplify right side
   83,427x = 30,191,495,049
5. Step 5: Solve for x
   x = 30,191,495,049/83,427
6. Step 6: Final answer
   x = 361,891.17