Finding the Third Proportional to 166,677 and 258,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,677 : 258,151.50 = 258,151.50 : x
2. Step 2: Convert to fraction form
   166,677/258,151.50 = 258,151.50/x
3. Step 3: Cross multiply
   166,677x = 258,151.50 × 258,151.50
4. Step 4: Simplify right side
   166,677x = 66,642,196,952.25
5. Step 5: Solve for x
   x = 66,642,196,952.25/166,677
6. Step 6: Final answer
   x = 399,828.39