Finding the Third Proportional to 72,757 and 109,406

Step by Step Solution

1. Step 1: Write the proportion equation
   72,757 : 109,406 = 109,406 : x
2. Step 2: Convert to fraction form
   72,757/109,406 = 109,406/x
3. Step 3: Cross multiply
   72,757x = 109,406 × 109,406
4. Step 4: Simplify right side
   72,757x = 11,969,672,836
5. Step 5: Solve for x
   x = 11,969,672,836/72,757
6. Step 6: Final answer
   x = 164,515.76