Finding the Third Proportional to 82,100.25 and 177,018.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,100.25 : 177,018.75 = 177,018.75 : x
2. Step 2: Convert to fraction form
   82,100.25/177,018.75 = 177,018.75/x
3. Step 3: Cross multiply
   82,100.25x = 177,018.75 × 177,018.75
4. Step 4: Simplify right side
   82,100.25x = 31,335,637,851.56
5. Step 5: Solve for x
   x = 31,335,637,851.56/82,100.25
6. Step 6: Final answer
   x = 381,675.30