Finding the Third Proportional to 52,502 and 116,560

Step by Step Solution

1. Step 1: Write the proportion equation
   52,502 : 116,560 = 116,560 : x
2. Step 2: Convert to fraction form
   52,502/116,560 = 116,560/x
3. Step 3: Cross multiply
   52,502x = 116,560 × 116,560
4. Step 4: Simplify right side
   52,502x = 13,586,233,600
5. Step 5: Solve for x
   x = 13,586,233,600/52,502
6. Step 6: Final answer
   x = 258,775.54