Finding the Third Proportional to 171,362 and 256,034

Step by Step Solution

1. Step 1: Write the proportion equation
   171,362 : 256,034 = 256,034 : x
2. Step 2: Convert to fraction form
   171,362/256,034 = 256,034/x
3. Step 3: Cross multiply
   171,362x = 256,034 × 256,034
4. Step 4: Simplify right side
   171,362x = 65,553,409,156
5. Step 5: Solve for x
   x = 65,553,409,156/171,362
6. Step 6: Final answer
   x = 382,543.44