Finding the Third Proportional to 111,565 and 169,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565 : 169,964.50 = 169,964.50 : x
2. Step 2: Convert to fraction form
   111,565/169,964.50 = 169,964.50/x
3. Step 3: Cross multiply
   111,565x = 169,964.50 × 169,964.50
4. Step 4: Simplify right side
   111,565x = 28,887,931,260.25
5. Step 5: Solve for x
   x = 28,887,931,260.25/111,565
6. Step 6: Final answer
   x = 258,933.64