Finding the Third Proportional to 172,840 and 262,754

Step by Step Solution

1. Step 1: Write the proportion equation
   172,840 : 262,754 = 262,754 : x
2. Step 2: Convert to fraction form
   172,840/262,754 = 262,754/x
3. Step 3: Cross multiply
   172,840x = 262,754 × 262,754
4. Step 4: Simplify right side
   172,840x = 69,039,664,516
5. Step 5: Solve for x
   x = 69,039,664,516/172,840
6. Step 6: Final answer
   x = 399,442.63