Finding the Third Proportional to 82,215 and 176,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,215 : 176,899.50 = 176,899.50 : x
2. Step 2: Convert to fraction form
   82,215/176,899.50 = 176,899.50/x
3. Step 3: Cross multiply
   82,215x = 176,899.50 × 176,899.50
4. Step 4: Simplify right side
   82,215x = 31,293,433,100.25
5. Step 5: Solve for x
   x = 31,293,433,100.25/82,215
6. Step 6: Final answer
   x = 380,629.24