Finding the Third Proportional to 106,434 and 158,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,434 : 158,728.50 = 158,728.50 : x
2. Step 2: Convert to fraction form
   106,434/158,728.50 = 158,728.50/x
3. Step 3: Cross multiply
   106,434x = 158,728.50 × 158,728.50
4. Step 4: Simplify right side
   106,434x = 25,194,736,712.25
5. Step 5: Solve for x
   x = 25,194,736,712.25/106,434
6. Step 6: Final answer
   x = 236,717.00