Finding the Third Proportional to 82,754 and 177,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,754 : 177,171.50 = 177,171.50 : x
2. Step 2: Convert to fraction form
   82,754/177,171.50 = 177,171.50/x
3. Step 3: Cross multiply
   82,754x = 177,171.50 × 177,171.50
4. Step 4: Simplify right side
   82,754x = 31,389,740,412.25
5. Step 5: Solve for x
   x = 31,389,740,412.25/82,754
6. Step 6: Final answer
   x = 379,313.88