Finding the Third Proportional to 83,558 and 126,046

Step by Step Solution

1. Step 1: Write the proportion equation
   83,558 : 126,046 = 126,046 : x
2. Step 2: Convert to fraction form
   83,558/126,046 = 126,046/x
3. Step 3: Cross multiply
   83,558x = 126,046 × 126,046
4. Step 4: Simplify right side
   83,558x = 15,887,594,116
5. Step 5: Solve for x
   x = 15,887,594,116/83,558
6. Step 6: Final answer
   x = 190,138.52