Finding the Third Proportional to 72,598 and 109,512

Step by Step Solution

1. Step 1: Write the proportion equation
   72,598 : 109,512 = 109,512 : x
2. Step 2: Convert to fraction form
   72,598/109,512 = 109,512/x
3. Step 3: Cross multiply
   72,598x = 109,512 × 109,512
4. Step 4: Simplify right side
   72,598x = 11,992,878,144
5. Step 5: Solve for x
   x = 11,992,878,144/72,598
6. Step 6: Final answer
   x = 165,195.71