Finding the Third Proportional to 174,366 and 262,832.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,366 : 262,832.25 = 262,832.25 : x
2. Step 2: Convert to fraction form
   174,366/262,832.25 = 262,832.25/x
3. Step 3: Cross multiply
   174,366x = 262,832.25 × 262,832.25
4. Step 4: Simplify right side
   174,366x = 69,080,791,640.06
5. Step 5: Solve for x
   x = 69,080,791,640.06/174,366
6. Step 6: Final answer
   x = 396,182.69