Finding the Third Proportional to 174,780 and 262,078

Step by Step Solution

1. Step 1: Write the proportion equation
   174,780 : 262,078 = 262,078 : x
2. Step 2: Convert to fraction form
   174,780/262,078 = 262,078/x
3. Step 3: Cross multiply
   174,780x = 262,078 × 262,078
4. Step 4: Simplify right side
   174,780x = 68,684,878,084
5. Step 5: Solve for x
   x = 68,684,878,084/174,780
6. Step 6: Final answer
   x = 392,979.05