Finding the Third Proportional to 72,024 and 113,946

Step by Step Solution

1. Step 1: Write the proportion equation
   72,024 : 113,946 = 113,946 : x
2. Step 2: Convert to fraction form
   72,024/113,946 = 113,946/x
3. Step 3: Cross multiply
   72,024x = 113,946 × 113,946
4. Step 4: Simplify right side
   72,024x = 12,983,690,916
5. Step 5: Solve for x
   x = 12,983,690,916/72,024
6. Step 6: Final answer
   x = 180,268.95