Finding the Third Proportional to 83,007 and 126,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,007 : 126,940.50 = 126,940.50 : x
2. Step 2: Convert to fraction form
   83,007/126,940.50 = 126,940.50/x
3. Step 3: Cross multiply
   83,007x = 126,940.50 × 126,940.50
4. Step 4: Simplify right side
   83,007x = 16,113,890,540.25
5. Step 5: Solve for x
   x = 16,113,890,540.25/83,007
6. Step 6: Final answer
   x = 194,126.89