Finding the Third Proportional to 75,602 and 111,216

Step by Step Solution

1. Step 1: Write the proportion equation
   75,602 : 111,216 = 111,216 : x
2. Step 2: Convert to fraction form
   75,602/111,216 = 111,216/x
3. Step 3: Cross multiply
   75,602x = 111,216 × 111,216
4. Step 4: Simplify right side
   75,602x = 12,368,998,656
5. Step 5: Solve for x
   x = 12,368,998,656/75,602
6. Step 6: Final answer
   x = 163,606.77