Finding the Third Proportional to 108,024 and 224,712

Step by Step Solution

1. Step 1: Write the proportion equation
   108,024 : 224,712 = 224,712 : x
2. Step 2: Convert to fraction form
   108,024/224,712 = 224,712/x
3. Step 3: Cross multiply
   108,024x = 224,712 × 224,712
4. Step 4: Simplify right side
   108,024x = 50,495,482,944
5. Step 5: Solve for x
   x = 50,495,482,944/108,024
6. Step 6: Final answer
   x = 467,446.89