Finding the Third Proportional to 51,003 and 109,377

Step by Step Solution

1. Step 1: Write the proportion equation
   51,003 : 109,377 = 109,377 : x
2. Step 2: Convert to fraction form
   51,003/109,377 = 109,377/x
3. Step 3: Cross multiply
   51,003x = 109,377 × 109,377
4. Step 4: Simplify right side
   51,003x = 11,963,328,129
5. Step 5: Solve for x
   x = 11,963,328,129/51,003
6. Step 6: Final answer
   x = 234,561.26