Finding the Third Proportional to 51,548 and 109,898

Step by Step Solution

1. Step 1: Write the proportion equation
   51,548 : 109,898 = 109,898 : x
2. Step 2: Convert to fraction form
   51,548/109,898 = 109,898/x
3. Step 3: Cross multiply
   51,548x = 109,898 × 109,898
4. Step 4: Simplify right side
   51,548x = 12,077,570,404
5. Step 5: Solve for x
   x = 12,077,570,404/51,548
6. Step 6: Final answer
   x = 234,297.56