Finding the Third Proportional to 91,926 and 126,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,926 : 126,586.50 = 126,586.50 : x
2. Step 2: Convert to fraction form
   91,926/126,586.50 = 126,586.50/x
3. Step 3: Cross multiply
   91,926x = 126,586.50 × 126,586.50
4. Step 4: Simplify right side
   91,926x = 16,024,141,982.25
5. Step 5: Solve for x
   x = 16,024,141,982.25/91,926
6. Step 6: Final answer
   x = 174,315.67