Finding the Third Proportional to 52,153 and 111,690

Step by Step Solution

1. Step 1: Write the proportion equation
   52,153 : 111,690 = 111,690 : x
2. Step 2: Convert to fraction form
   52,153/111,690 = 111,690/x
3. Step 3: Cross multiply
   52,153x = 111,690 × 111,690
4. Step 4: Simplify right side
   52,153x = 12,474,656,100
5. Step 5: Solve for x
   x = 12,474,656,100/52,153
6. Step 6: Final answer
   x = 239,193.45