Finding the Third Proportional to 82,906.50 and 177,633

Step by Step Solution

1. Step 1: Write the proportion equation
   82,906.50 : 177,633 = 177,633 : x
2. Step 2: Convert to fraction form
   82,906.50/177,633 = 177,633/x
3. Step 3: Cross multiply
   82,906.50x = 177,633 × 177,633
4. Step 4: Simplify right side
   82,906.50x = 31,553,482,689
5. Step 5: Solve for x
   x = 31,553,482,689/82,906.50
6. Step 6: Final answer
   x = 380,591.18