Finding the Third Proportional to 171,804 and 256,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,804 : 256,912.50 = 256,912.50 : x
2. Step 2: Convert to fraction form
   171,804/256,912.50 = 256,912.50/x
3. Step 3: Cross multiply
   171,804x = 256,912.50 × 256,912.50
4. Step 4: Simplify right side
   171,804x = 66,004,032,656.25
5. Step 5: Solve for x
   x = 66,004,032,656.25/171,804
6. Step 6: Final answer
   x = 384,182.16