Finding the Third Proportional to 77,223.50 and 158,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,223.50 : 158,209.50 = 158,209.50 : x
2. Step 2: Convert to fraction form
   77,223.50/158,209.50 = 158,209.50/x
3. Step 3: Cross multiply
   77,223.50x = 158,209.50 × 158,209.50
4. Step 4: Simplify right side
   77,223.50x = 25,030,245,890.25
5. Step 5: Solve for x
   x = 25,030,245,890.25/77,223.50
6. Step 6: Final answer
   x = 324,127.32