Finding the Third Proportional to 72,658 and 109,404

Step by Step Solution

1. Step 1: Write the proportion equation
   72,658 : 109,404 = 109,404 : x
2. Step 2: Convert to fraction form
   72,658/109,404 = 109,404/x
3. Step 3: Cross multiply
   72,658x = 109,404 × 109,404
4. Step 4: Simplify right side
   72,658x = 11,969,235,216
5. Step 5: Solve for x
   x = 11,969,235,216/72,658
6. Step 6: Final answer
   x = 164,733.89