Finding the Third Proportional to 82,111.50 and 177,716.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111.50 : 177,716.25 = 177,716.25 : x
2. Step 2: Convert to fraction form
   82,111.50/177,716.25 = 177,716.25/x
3. Step 3: Cross multiply
   82,111.50x = 177,716.25 × 177,716.25
4. Step 4: Simplify right side
   82,111.50x = 31,583,065,514.06
5. Step 5: Solve for x
   x = 31,583,065,514.06/82,111.50
6. Step 6: Final answer
   x = 384,636.32