Finding the Third Proportional to 83,835 and 126,834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,835 : 126,834.75 = 126,834.75 : x
2. Step 2: Convert to fraction form
   83,835/126,834.75 = 126,834.75/x
3. Step 3: Cross multiply
   83,835x = 126,834.75 × 126,834.75
4. Step 4: Simplify right side
   83,835x = 16,087,053,807.56
5. Step 5: Solve for x
   x = 16,087,053,807.56/83,835
6. Step 6: Final answer
   x = 191,889.47