Finding the Third Proportional to 86,124 and 126,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,124 : 126,634.50 = 126,634.50 : x
2. Step 2: Convert to fraction form
   86,124/126,634.50 = 126,634.50/x
3. Step 3: Cross multiply
   86,124x = 126,634.50 × 126,634.50
4. Step 4: Simplify right side
   86,124x = 16,036,296,590.25
5. Step 5: Solve for x
   x = 16,036,296,590.25/86,124
6. Step 6: Final answer
   x = 186,200.09