Finding the Third Proportional to 72,234 and 174,023

Step by Step Solution

1. Step 1: Write the proportion equation
   72,234 : 174,023 = 174,023 : x
2. Step 2: Convert to fraction form
   72,234/174,023 = 174,023/x
3. Step 3: Cross multiply
   72,234x = 174,023 × 174,023
4. Step 4: Simplify right side
   72,234x = 30,284,004,529
5. Step 5: Solve for x
   x = 30,284,004,529/72,234
6. Step 6: Final answer
   x = 419,248.62