Finding the Third Proportional to 70,857 and 108,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,857 : 108,517.50 = 108,517.50 : x
2. Step 2: Convert to fraction form
   70,857/108,517.50 = 108,517.50/x
3. Step 3: Cross multiply
   70,857x = 108,517.50 × 108,517.50
4. Step 4: Simplify right side
   70,857x = 11,776,047,806.25
5. Step 5: Solve for x
   x = 11,776,047,806.25/70,857
6. Step 6: Final answer
   x = 166,194.56