Finding the Third Proportional to 72,642 and 111,076

Step by Step Solution

1. Step 1: Write the proportion equation
   72,642 : 111,076 = 111,076 : x
2. Step 2: Convert to fraction form
   72,642/111,076 = 111,076/x
3. Step 3: Cross multiply
   72,642x = 111,076 × 111,076
4. Step 4: Simplify right side
   72,642x = 12,337,877,776
5. Step 5: Solve for x
   x = 12,337,877,776/72,642
6. Step 6: Final answer
   x = 169,844.96