Finding the Third Proportional to 71,690 and 111,454

Step by Step Solution

1. Step 1: Write the proportion equation
   71,690 : 111,454 = 111,454 : x
2. Step 2: Convert to fraction form
   71,690/111,454 = 111,454/x
3. Step 3: Cross multiply
   71,690x = 111,454 × 111,454
4. Step 4: Simplify right side
   71,690x = 12,421,994,116
5. Step 5: Solve for x
   x = 12,421,994,116/71,690
6. Step 6: Final answer
   x = 173,273.74