Finding the Third Proportional to 72,188 and 108,597

Step by Step Solution

1. Step 1: Write the proportion equation
   72,188 : 108,597 = 108,597 : x
2. Step 2: Convert to fraction form
   72,188/108,597 = 108,597/x
3. Step 3: Cross multiply
   72,188x = 108,597 × 108,597
4. Step 4: Simplify right side
   72,188x = 11,793,308,409
5. Step 5: Solve for x
   x = 11,793,308,409/72,188
6. Step 6: Final answer
   x = 163,369.37