Finding the Third Proportional to 72,662 and 111,106

Step by Step Solution

1. Step 1: Write the proportion equation
   72,662 : 111,106 = 111,106 : x
2. Step 2: Convert to fraction form
   72,662/111,106 = 111,106/x
3. Step 3: Cross multiply
   72,662x = 111,106 × 111,106
4. Step 4: Simplify right side
   72,662x = 12,344,543,236
5. Step 5: Solve for x
   x = 12,344,543,236/72,662
6. Step 6: Final answer
   x = 169,889.95