Finding the Third Proportional to 82,012.50 and 126,434.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012.50 : 126,434.25 = 126,434.25 : x
2. Step 2: Convert to fraction form
   82,012.50/126,434.25 = 126,434.25/x
3. Step 3: Cross multiply
   82,012.50x = 126,434.25 × 126,434.25
4. Step 4: Simplify right side
   82,012.50x = 15,985,619,573.06
5. Step 5: Solve for x
   x = 15,985,619,573.06/82,012.50
6. Step 6: Final answer
   x = 194,916.87