Finding the Third Proportional to 48,024 and 111,646

Step by Step Solution

1. Step 1: Write the proportion equation
   48,024 : 111,646 = 111,646 : x
2. Step 2: Convert to fraction form
   48,024/111,646 = 111,646/x
3. Step 3: Cross multiply
   48,024x = 111,646 × 111,646
4. Step 4: Simplify right side
   48,024x = 12,464,829,316
5. Step 5: Solve for x
   x = 12,464,829,316/48,024
6. Step 6: Final answer
   x = 259,554.17