Finding the Third Proportional to 82,102.50 and 176,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,102.50 : 176,870.25 = 176,870.25 : x
2. Step 2: Convert to fraction form
   82,102.50/176,870.25 = 176,870.25/x
3. Step 3: Cross multiply
   82,102.50x = 176,870.25 × 176,870.25
4. Step 4: Simplify right side
   82,102.50x = 31,283,085,335.06
5. Step 5: Solve for x
   x = 31,283,085,335.06/82,102.50
6. Step 6: Final answer
   x = 381,024.76