Finding the Third Proportional to 83,837.25 and 126,839.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,837.25 : 126,839.25 = 126,839.25 : x
2. Step 2: Convert to fraction form
   83,837.25/126,839.25 = 126,839.25/x
3. Step 3: Cross multiply
   83,837.25x = 126,839.25 × 126,839.25
4. Step 4: Simplify right side
   83,837.25x = 16,088,195,340.56
5. Step 5: Solve for x
   x = 16,088,195,340.56/83,837.25
6. Step 6: Final answer
   x = 191,897.94