Finding the Third Proportional to 82,111.50 and 176,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111.50 : 176,887.50 = 176,887.50 : x
2. Step 2: Convert to fraction form
   82,111.50/176,887.50 = 176,887.50/x
3. Step 3: Cross multiply
   82,111.50x = 176,887.50 × 176,887.50
4. Step 4: Simplify right side
   82,111.50x = 31,289,187,656.25
5. Step 5: Solve for x
   x = 31,289,187,656.25/82,111.50
6. Step 6: Final answer
   x = 381,057.31