Finding the Third Proportional to 35,766 and 83,156

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 83,156 = 83,156 : x
2. Step 2: Convert to fraction form
   35,766/83,156 = 83,156/x
3. Step 3: Cross multiply
   35,766x = 83,156 × 83,156
4. Step 4: Simplify right side
   35,766x = 6,914,920,336
5. Step 5: Solve for x
   x = 6,914,920,336/35,766
6. Step 6: Final answer
   x = 193,337.82