Finding the Third Proportional to 83,158.50 and 158,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,158.50 : 158,662.50 = 158,662.50 : x
2. Step 2: Convert to fraction form
   83,158.50/158,662.50 = 158,662.50/x
3. Step 3: Cross multiply
   83,158.50x = 158,662.50 × 158,662.50
4. Step 4: Simplify right side
   83,158.50x = 25,173,788,906.25
5. Step 5: Solve for x
   x = 25,173,788,906.25/83,158.50
6. Step 6: Final answer
   x = 302,720.57