Finding the Third Proportional to 53,184 and 113,280

Step by Step Solution

1. Step 1: Write the proportion equation
   53,184 : 113,280 = 113,280 : x
2. Step 2: Convert to fraction form
   53,184/113,280 = 113,280/x
3. Step 3: Cross multiply
   53,184x = 113,280 × 113,280
4. Step 4: Simplify right side
   53,184x = 12,832,358,400
5. Step 5: Solve for x
   x = 12,832,358,400/53,184
6. Step 6: Final answer
   x = 241,282.31