Finding the Third Proportional to 69,708 and 105,216

Step by Step Solution

1. Step 1: Write the proportion equation
   69,708 : 105,216 = 105,216 : x
2. Step 2: Convert to fraction form
   69,708/105,216 = 105,216/x
3. Step 3: Cross multiply
   69,708x = 105,216 × 105,216
4. Step 4: Simplify right side
   69,708x = 11,070,406,656
5. Step 5: Solve for x
   x = 11,070,406,656/69,708
6. Step 6: Final answer
   x = 158,811.14