Finding the Third Proportional to 170,793 and 256,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   170,793 : 256,738.50 = 256,738.50 : x
2. Step 2: Convert to fraction form
   170,793/256,738.50 = 256,738.50/x
3. Step 3: Cross multiply
   170,793x = 256,738.50 × 256,738.50
4. Step 4: Simplify right side
   170,793x = 65,914,657,382.25
5. Step 5: Solve for x
   x = 65,914,657,382.25/170,793
6. Step 6: Final answer
   x = 385,933.01