Finding the Third Proportional to 59,881 and 83,259

Step by Step Solution

1. Step 1: Write the proportion equation
   59,881 : 83,259 = 83,259 : x
2. Step 2: Convert to fraction form
   59,881/83,259 = 83,259/x
3. Step 3: Cross multiply
   59,881x = 83,259 × 83,259
4. Step 4: Simplify right side
   59,881x = 6,932,061,081
5. Step 5: Solve for x
   x = 6,932,061,081/59,881
6. Step 6: Final answer
   x = 115,763.95