Finding the Third Proportional to 73,946 and 113,662

Step by Step Solution

1. Step 1: Write the proportion equation
   73,946 : 113,662 = 113,662 : x
2. Step 2: Convert to fraction form
   73,946/113,662 = 113,662/x
3. Step 3: Cross multiply
   73,946x = 113,662 × 113,662
4. Step 4: Simplify right side
   73,946x = 12,919,050,244
5. Step 5: Solve for x
   x = 12,919,050,244/73,946
6. Step 6: Final answer
   x = 174,709.25