Finding the Third Proportional to 53,496 and 116,224

Step by Step Solution

1. Step 1: Write the proportion equation
   53,496 : 116,224 = 116,224 : x
2. Step 2: Convert to fraction form
   53,496/116,224 = 116,224/x
3. Step 3: Cross multiply
   53,496x = 116,224 × 116,224
4. Step 4: Simplify right side
   53,496x = 13,508,018,176
5. Step 5: Solve for x
   x = 13,508,018,176/53,496
6. Step 6: Final answer
   x = 252,505.20