Finding the Third Proportional to 83,153.25 and 126,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,153.25 : 126,805.50 = 126,805.50 : x
2. Step 2: Convert to fraction form
   83,153.25/126,805.50 = 126,805.50/x
3. Step 3: Cross multiply
   83,153.25x = 126,805.50 × 126,805.50
4. Step 4: Simplify right side
   83,153.25x = 16,079,634,830.25
5. Step 5: Solve for x
   x = 16,079,634,830.25/83,153.25
6. Step 6: Final answer
   x = 193,373.50