Finding the Third Proportional to 166,806 and 258,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,806 : 258,187.50 = 258,187.50 : x
2. Step 2: Convert to fraction form
   166,806/258,187.50 = 258,187.50/x
3. Step 3: Cross multiply
   166,806x = 258,187.50 × 258,187.50
4. Step 4: Simplify right side
   166,806x = 66,660,785,156.25
5. Step 5: Solve for x
   x = 66,660,785,156.25/166,806
6. Step 6: Final answer
   x = 399,630.62