Finding the Third Proportional to 166,990.50 and 258,264

Step by Step Solution

1. Step 1: Write the proportion equation
   166,990.50 : 258,264 = 258,264 : x
2. Step 2: Convert to fraction form
   166,990.50/258,264 = 258,264/x
3. Step 3: Cross multiply
   166,990.50x = 258,264 × 258,264
4. Step 4: Simplify right side
   166,990.50x = 66,700,293,696
5. Step 5: Solve for x
   x = 66,700,293,696/166,990.50
6. Step 6: Final answer
   x = 399,425.68