Finding the Third Proportional to 59,211 and 112,965

Step by Step Solution

1. Step 1: Write the proportion equation
   59,211 : 112,965 = 112,965 : x
2. Step 2: Convert to fraction form
   59,211/112,965 = 112,965/x
3. Step 3: Cross multiply
   59,211x = 112,965 × 112,965
4. Step 4: Simplify right side
   59,211x = 12,761,091,225
5. Step 5: Solve for x
   x = 12,761,091,225/59,211
6. Step 6: Final answer
   x = 215,518.93