Finding the Third Proportional to 114,510 and 158,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,510 : 158,227.50 = 158,227.50 : x
2. Step 2: Convert to fraction form
   114,510/158,227.50 = 158,227.50/x
3. Step 3: Cross multiply
   114,510x = 158,227.50 × 158,227.50
4. Step 4: Simplify right side
   114,510x = 25,035,941,756.25
5. Step 5: Solve for x
   x = 25,035,941,756.25/114,510
6. Step 6: Final answer
   x = 218,635.42