Finding the Third Proportional to 72,409 and 109,077

Step by Step Solution

1. Step 1: Write the proportion equation
   72,409 : 109,077 = 109,077 : x
2. Step 2: Convert to fraction form
   72,409/109,077 = 109,077/x
3. Step 3: Cross multiply
   72,409x = 109,077 × 109,077
4. Step 4: Simplify right side
   72,409x = 11,897,791,929
5. Step 5: Solve for x
   x = 11,897,791,929/72,409
6. Step 6: Final answer
   x = 164,313.72