Finding the Third Proportional to 169,499.25 and 256,435.45

Step by Step Solution

1. Step 1: Write the proportion equation
   169,499.25 : 256,435.45 = 256,435.45 : x
2. Step 2: Convert to fraction form
   169,499.25/256,435.45 = 256,435.45/x
3. Step 3: Cross multiply
   169,499.25x = 256,435.45 × 256,435.45
4. Step 4: Simplify right side
   169,499.25x = 65,759,141,619.42
5. Step 5: Solve for x
   x = 65,759,141,619.42/169,499.25
6. Step 6: Final answer
   x = 387,961.25