Finding the Third Proportional to 71,748 and 111,321

Step by Step Solution

1. Step 1: Write the proportion equation
   71,748 : 111,321 = 111,321 : x
2. Step 2: Convert to fraction form
   71,748/111,321 = 111,321/x
3. Step 3: Cross multiply
   71,748x = 111,321 × 111,321
4. Step 4: Simplify right side
   71,748x = 12,392,365,041
5. Step 5: Solve for x
   x = 12,392,365,041/71,748
6. Step 6: Final answer
   x = 172,720.70