Finding the Third Proportional to 111,768 and 169,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,768 : 169,096.50 = 169,096.50 : x
2. Step 2: Convert to fraction form
   111,768/169,096.50 = 169,096.50/x
3. Step 3: Cross multiply
   111,768x = 169,096.50 × 169,096.50
4. Step 4: Simplify right side
   111,768x = 28,593,626,312.25
5. Step 5: Solve for x
   x = 28,593,626,312.25/111,768
6. Step 6: Final answer
   x = 255,830.17