Finding the Third Proportional to 111,779.50 and 169,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,779.50 : 169,114.50 = 169,114.50 : x
2. Step 2: Convert to fraction form
   111,779.50/169,114.50 = 169,114.50/x
3. Step 3: Cross multiply
   111,779.50x = 169,114.50 × 169,114.50
4. Step 4: Simplify right side
   111,779.50x = 28,599,714,110.25
5. Step 5: Solve for x
   x = 28,599,714,110.25/111,779.50
6. Step 6: Final answer
   x = 255,858.31