Finding the Third Proportional to 160,869 and 254,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   160,869 : 254,938.50 = 254,938.50 : x
2. Step 2: Convert to fraction form
   160,869/254,938.50 = 254,938.50/x
3. Step 3: Cross multiply
   160,869x = 254,938.50 × 254,938.50
4. Step 4: Simplify right side
   160,869x = 64,993,638,782.25
5. Step 5: Solve for x
   x = 64,993,638,782.25/160,869
6. Step 6: Final answer
   x = 404,015.93