Finding the Third Proportional to 112,747 and 262,184

Step by Step Solution

1. Step 1: Write the proportion equation
   112,747 : 262,184 = 262,184 : x
2. Step 2: Convert to fraction form
   112,747/262,184 = 262,184/x
3. Step 3: Cross multiply
   112,747x = 262,184 × 262,184
4. Step 4: Simplify right side
   112,747x = 68,740,449,856
5. Step 5: Solve for x
   x = 68,740,449,856/112,747
6. Step 6: Final answer
   x = 609,687.62