Finding the Third Proportional to 73,702 and 173,254

Step by Step Solution

1. Step 1: Write the proportion equation
   73,702 : 173,254 = 173,254 : x
2. Step 2: Convert to fraction form
   73,702/173,254 = 173,254/x
3. Step 3: Cross multiply
   73,702x = 173,254 × 173,254
4. Step 4: Simplify right side
   73,702x = 30,016,948,516
5. Step 5: Solve for x
   x = 30,016,948,516/73,702
6. Step 6: Final answer
   x = 407,274.55