Finding the Third Proportional to 166,080 and 257,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,080 : 257,869.50 = 257,869.50 : x
2. Step 2: Convert to fraction form
   166,080/257,869.50 = 257,869.50/x
3. Step 3: Cross multiply
   166,080x = 257,869.50 × 257,869.50
4. Step 4: Simplify right side
   166,080x = 66,496,679,030.25
5. Step 5: Solve for x
   x = 66,496,679,030.25/166,080
6. Step 6: Final answer
   x = 400,389.45