Finding the Third Proportional to 72,608 and 114,102

Step by Step Solution

1. Step 1: Write the proportion equation
   72,608 : 114,102 = 114,102 : x
2. Step 2: Convert to fraction form
   72,608/114,102 = 114,102/x
3. Step 3: Cross multiply
   72,608x = 114,102 × 114,102
4. Step 4: Simplify right side
   72,608x = 13,019,266,404
5. Step 5: Solve for x
   x = 13,019,266,404/72,608
6. Step 6: Final answer
   x = 179,308.98