Finding the Third Proportional to 72,808 and 105,216

Step by Step Solution

1. Step 1: Write the proportion equation
   72,808 : 105,216 = 105,216 : x
2. Step 2: Convert to fraction form
   72,808/105,216 = 105,216/x
3. Step 3: Cross multiply
   72,808x = 105,216 × 105,216
4. Step 4: Simplify right side
   72,808x = 11,070,406,656
5. Step 5: Solve for x
   x = 11,070,406,656/72,808
6. Step 6: Final answer
   x = 152,049.32