Finding the Third Proportional to 25,086 and 59,216

Step by Step Solution

1. Step 1: Write the proportion equation
   25,086 : 59,216 = 59,216 : x
2. Step 2: Convert to fraction form
   25,086/59,216 = 59,216/x
3. Step 3: Cross multiply
   25,086x = 59,216 × 59,216
4. Step 4: Simplify right side
   25,086x = 3,506,534,656
5. Step 5: Solve for x
   x = 3,506,534,656/25,086
6. Step 6: Final answer
   x = 139,780.54