Finding the Third Proportional to 52,560 and 116,784

Step by Step Solution

1. Step 1: Write the proportion equation
   52,560 : 116,784 = 116,784 : x
2. Step 2: Convert to fraction form
   52,560/116,784 = 116,784/x
3. Step 3: Cross multiply
   52,560x = 116,784 × 116,784
4. Step 4: Simplify right side
   52,560x = 13,638,502,656
5. Step 5: Solve for x
   x = 13,638,502,656/52,560
6. Step 6: Final answer
   x = 259,484.45