Finding the Third Proportional to 82,080 and 176,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,080 : 176,824.50 = 176,824.50 : x
2. Step 2: Convert to fraction form
   82,080/176,824.50 = 176,824.50/x
3. Step 3: Cross multiply
   82,080x = 176,824.50 × 176,824.50
4. Step 4: Simplify right side
   82,080x = 31,266,903,800.25
5. Step 5: Solve for x
   x = 31,266,903,800.25/82,080
6. Step 6: Final answer
   x = 380,932.06