Finding the Third Proportional to 48,144 and 112,464

Step by Step Solution

1. Step 1: Write the proportion equation
   48,144 : 112,464 = 112,464 : x
2. Step 2: Convert to fraction form
   48,144/112,464 = 112,464/x
3. Step 3: Cross multiply
   48,144x = 112,464 × 112,464
4. Step 4: Simplify right side
   48,144x = 12,648,151,296
5. Step 5: Solve for x
   x = 12,648,151,296/48,144
6. Step 6: Final answer
   x = 262,715.01