Finding the Third Proportional to 83,785 and 173,402

Step by Step Solution

1. Step 1: Write the proportion equation
   83,785 : 173,402 = 173,402 : x
2. Step 2: Convert to fraction form
   83,785/173,402 = 173,402/x
3. Step 3: Cross multiply
   83,785x = 173,402 × 173,402
4. Step 4: Simplify right side
   83,785x = 30,068,253,604
5. Step 5: Solve for x
   x = 30,068,253,604/83,785
6. Step 6: Final answer
   x = 358,873.95