Finding the Third Proportional to 47,312 and 103,024

Step by Step Solution

1. Step 1: Write the proportion equation
   47,312 : 103,024 = 103,024 : x
2. Step 2: Convert to fraction form
   47,312/103,024 = 103,024/x
3. Step 3: Cross multiply
   47,312x = 103,024 × 103,024
4. Step 4: Simplify right side
   47,312x = 10,613,944,576
5. Step 5: Solve for x
   x = 10,613,944,576/47,312
6. Step 6: Final answer
   x = 224,339.38