Finding the Third Proportional to 91,782 and 134,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,782 : 134,149.50 = 134,149.50 : x
2. Step 2: Convert to fraction form
   91,782/134,149.50 = 134,149.50/x
3. Step 3: Cross multiply
   91,782x = 134,149.50 × 134,149.50
4. Step 4: Simplify right side
   91,782x = 17,996,088,350.25
5. Step 5: Solve for x
   x = 17,996,088,350.25/91,782
6. Step 6: Final answer
   x = 196,074.27