Finding the Third Proportional to 166,461 and 257,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,461 : 257,461.50 = 257,461.50 : x
2. Step 2: Convert to fraction form
   166,461/257,461.50 = 257,461.50/x
3. Step 3: Cross multiply
   166,461x = 257,461.50 × 257,461.50
4. Step 4: Simplify right side
   166,461x = 66,286,423,982.25
5. Step 5: Solve for x
   x = 66,286,423,982.25/166,461
6. Step 6: Final answer
   x = 398,209.93