Finding the Third Proportional to 111,852 and 169,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,852 : 169,405.50 = 169,405.50 : x
2. Step 2: Convert to fraction form
   111,852/169,405.50 = 169,405.50/x
3. Step 3: Cross multiply
   111,852x = 169,405.50 × 169,405.50
4. Step 4: Simplify right side
   111,852x = 28,698,223,430.25
5. Step 5: Solve for x
   x = 28,698,223,430.25/111,852
6. Step 6: Final answer
   x = 256,573.18