Finding the Third Proportional to 52,776 and 116,352

Step by Step Solution

1. Step 1: Write the proportion equation
   52,776 : 116,352 = 116,352 : x
2. Step 2: Convert to fraction form
   52,776/116,352 = 116,352/x
3. Step 3: Cross multiply
   52,776x = 116,352 × 116,352
4. Step 4: Simplify right side
   52,776x = 13,537,787,904
5. Step 5: Solve for x
   x = 13,537,787,904/52,776
6. Step 6: Final answer
   x = 256,514.10