Finding the Third Proportional to 71,748 and 111,723

Step by Step Solution

1. Step 1: Write the proportion equation
   71,748 : 111,723 = 111,723 : x
2. Step 2: Convert to fraction form
   71,748/111,723 = 111,723/x
3. Step 3: Cross multiply
   71,748x = 111,723 × 111,723
4. Step 4: Simplify right side
   71,748x = 12,482,028,729
5. Step 5: Solve for x
   x = 12,482,028,729/71,748
6. Step 6: Final answer
   x = 173,970.41