Finding the Third Proportional to 106,742 and 229,978

Step by Step Solution

1. Step 1: Write the proportion equation
   106,742 : 229,978 = 229,978 : x
2. Step 2: Convert to fraction form
   106,742/229,978 = 229,978/x
3. Step 3: Cross multiply
   106,742x = 229,978 × 229,978
4. Step 4: Simplify right side
   106,742x = 52,889,880,484
5. Step 5: Solve for x
   x = 52,889,880,484/106,742
6. Step 6: Final answer
   x = 495,492.69