Finding the Third Proportional to 111,460 and 169,323

Step by Step Solution

1. Step 1: Write the proportion equation
   111,460 : 169,323 = 169,323 : x
2. Step 2: Convert to fraction form
   111,460/169,323 = 169,323/x
3. Step 3: Cross multiply
   111,460x = 169,323 × 169,323
4. Step 4: Simplify right side
   111,460x = 28,670,278,329
5. Step 5: Solve for x
   x = 28,670,278,329/111,460
6. Step 6: Final answer
   x = 257,224.82