Finding the Third Proportional to 77,287.50 and 158,706

Step by Step Solution

1. Step 1: Write the proportion equation
   77,287.50 : 158,706 = 158,706 : x
2. Step 2: Convert to fraction form
   77,287.50/158,706 = 158,706/x
3. Step 3: Cross multiply
   77,287.50x = 158,706 × 158,706
4. Step 4: Simplify right side
   77,287.50x = 25,187,594,436
5. Step 5: Solve for x
   x = 25,187,594,436/77,287.50
6. Step 6: Final answer
   x = 325,894.80