Finding the Third Proportional to 164,065 and 257,034

Step by Step Solution

1. Step 1: Write the proportion equation
   164,065 : 257,034 = 257,034 : x
2. Step 2: Convert to fraction form
   164,065/257,034 = 257,034/x
3. Step 3: Cross multiply
   164,065x = 257,034 × 257,034
4. Step 4: Simplify right side
   164,065x = 66,066,477,156
5. Step 5: Solve for x
   x = 66,066,477,156/164,065
6. Step 6: Final answer
   x = 402,684.77