Finding the Third Proportional to 111,038 and 169,322

Step by Step Solution

1. Step 1: Write the proportion equation
   111,038 : 169,322 = 169,322 : x
2. Step 2: Convert to fraction form
   111,038/169,322 = 169,322/x
3. Step 3: Cross multiply
   111,038x = 169,322 × 169,322
4. Step 4: Simplify right side
   111,038x = 28,669,939,684
5. Step 5: Solve for x
   x = 28,669,939,684/111,038
6. Step 6: Final answer
   x = 258,199.35