Finding the Third Proportional to 82,111.50 and 177,041.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111.50 : 177,041.25 = 177,041.25 : x
2. Step 2: Convert to fraction form
   82,111.50/177,041.25 = 177,041.25/x
3. Step 3: Cross multiply
   82,111.50x = 177,041.25 × 177,041.25
4. Step 4: Simplify right side
   82,111.50x = 31,343,604,201.56
5. Step 5: Solve for x
   x = 31,343,604,201.56/82,111.50
6. Step 6: Final answer
   x = 381,720.03