Finding the Third Proportional to 164,060.25 and 257,025

Step by Step Solution

1. Step 1: Write the proportion equation
   164,060.25 : 257,025 = 257,025 : x
2. Step 2: Convert to fraction form
   164,060.25/257,025 = 257,025/x
3. Step 3: Cross multiply
   164,060.25x = 257,025 × 257,025
4. Step 4: Simplify right side
   164,060.25x = 66,061,850,625
5. Step 5: Solve for x
   x = 66,061,850,625/164,060.25
6. Step 6: Final answer
   x = 402,668.23