Finding the Third Proportional to 106,807.50 and 158,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,807.50 : 158,564.25 = 158,564.25 : x
2. Step 2: Convert to fraction form
   106,807.50/158,564.25 = 158,564.25/x
3. Step 3: Cross multiply
   106,807.50x = 158,564.25 × 158,564.25
4. Step 4: Simplify right side
   106,807.50x = 25,142,621,378.06
5. Step 5: Solve for x
   x = 25,142,621,378.06/106,807.50
6. Step 6: Final answer
   x = 235,401.27