Finding the Third Proportional to 166,902 and 256,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,902 : 256,185.50 = 256,185.50 : x
2. Step 2: Convert to fraction form
   166,902/256,185.50 = 256,185.50/x
3. Step 3: Cross multiply
   166,902x = 256,185.50 × 256,185.50
4. Step 4: Simplify right side
   166,902x = 65,631,010,410.25
5. Step 5: Solve for x
   x = 65,631,010,410.25/166,902
6. Step 6: Final answer
   x = 393,230.82