Finding the Third Proportional to 72,649 and 109,392

Step by Step Solution

1. Step 1: Write the proportion equation
   72,649 : 109,392 = 109,392 : x
2. Step 2: Convert to fraction form
   72,649/109,392 = 109,392/x
3. Step 3: Cross multiply
   72,649x = 109,392 × 109,392
4. Step 4: Simplify right side
   72,649x = 11,966,609,664
5. Step 5: Solve for x
   x = 11,966,609,664/72,649
6. Step 6: Final answer
   x = 164,718.16