Finding the Third Proportional to 82,232.50 and 177,154

Step by Step Solution

1. Step 1: Write the proportion equation
   82,232.50 : 177,154 = 177,154 : x
2. Step 2: Convert to fraction form
   82,232.50/177,154 = 177,154/x
3. Step 3: Cross multiply
   82,232.50x = 177,154 × 177,154
4. Step 4: Simplify right side
   82,232.50x = 31,383,539,716
5. Step 5: Solve for x
   x = 31,383,539,716/82,232.50
6. Step 6: Final answer
   x = 381,643.99