Finding the Third Proportional to 72,574 and 109,956

Step by Step Solution

1. Step 1: Write the proportion equation
   72,574 : 109,956 = 109,956 : x
2. Step 2: Convert to fraction form
   72,574/109,956 = 109,956/x
3. Step 3: Cross multiply
   72,574x = 109,956 × 109,956
4. Step 4: Simplify right side
   72,574x = 12,090,321,936
5. Step 5: Solve for x
   x = 12,090,321,936/72,574
6. Step 6: Final answer
   x = 166,593.02