Finding the Third Proportional to 51,078 and 109,140

Step by Step Solution

1. Step 1: Write the proportion equation
   51,078 : 109,140 = 109,140 : x
2. Step 2: Convert to fraction form
   51,078/109,140 = 109,140/x
3. Step 3: Cross multiply
   51,078x = 109,140 × 109,140
4. Step 4: Simplify right side
   51,078x = 11,911,539,600
5. Step 5: Solve for x
   x = 11,911,539,600/51,078
6. Step 6: Final answer
   x = 233,202.94