Finding the Third Proportional to 59,197 and 90,557

Step by Step Solution

1. Step 1: Write the proportion equation
   59,197 : 90,557 = 90,557 : x
2. Step 2: Convert to fraction form
   59,197/90,557 = 90,557/x
3. Step 3: Cross multiply
   59,197x = 90,557 × 90,557
4. Step 4: Simplify right side
   59,197x = 8,200,570,249
5. Step 5: Solve for x
   x = 8,200,570,249/59,197
6. Step 6: Final answer
   x = 138,530.17