Finding the Third Proportional to 72,034 and 167,464

Step by Step Solution

1. Step 1: Write the proportion equation
   72,034 : 167,464 = 167,464 : x
2. Step 2: Convert to fraction form
   72,034/167,464 = 167,464/x
3. Step 3: Cross multiply
   72,034x = 167,464 × 167,464
4. Step 4: Simplify right side
   72,034x = 28,044,191,296
5. Step 5: Solve for x
   x = 28,044,191,296/72,034
6. Step 6: Final answer
   x = 389,318.81