Finding the Third Proportional to 72,738 and 109,377

Step by Step Solution

1. Step 1: Write the proportion equation
   72,738 : 109,377 = 109,377 : x
2. Step 2: Convert to fraction form
   72,738/109,377 = 109,377/x
3. Step 3: Cross multiply
   72,738x = 109,377 × 109,377
4. Step 4: Simplify right side
   72,738x = 11,963,328,129
5. Step 5: Solve for x
   x = 11,963,328,129/72,738
6. Step 6: Final answer
   x = 164,471.50