Finding the Third Proportional to 59,197 and 89,407

Step by Step Solution

1. Step 1: Write the proportion equation
   59,197 : 89,407 = 89,407 : x
2. Step 2: Convert to fraction form
   59,197/89,407 = 89,407/x
3. Step 3: Cross multiply
   59,197x = 89,407 × 89,407
4. Step 4: Simplify right side
   59,197x = 7,993,611,649
5. Step 5: Solve for x
   x = 7,993,611,649/59,197
6. Step 6: Final answer
   x = 135,034.07