Finding the Third Proportional to 52,742 and 85,690

Step by Step Solution

1. Step 1: Write the proportion equation
   52,742 : 85,690 = 85,690 : x
2. Step 2: Convert to fraction form
   52,742/85,690 = 85,690/x
3. Step 3: Cross multiply
   52,742x = 85,690 × 85,690
4. Step 4: Simplify right side
   52,742x = 7,342,776,100
5. Step 5: Solve for x
   x = 7,342,776,100/52,742
6. Step 6: Final answer
   x = 139,220.66