Finding the Third Proportional to 166,895 and 258,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,895 : 258,587.50 = 258,587.50 : x
2. Step 2: Convert to fraction form
   166,895/258,587.50 = 258,587.50/x
3. Step 3: Cross multiply
   166,895x = 258,587.50 × 258,587.50
4. Step 4: Simplify right side
   166,895x = 66,867,495,156.25
5. Step 5: Solve for x
   x = 66,867,495,156.25/166,895
6. Step 6: Final answer
   x = 400,656.07