Finding the Third Proportional to 100,380 and 137,642

Step by Step Solution

1. Step 1: Write the proportion equation
   100,380 : 137,642 = 137,642 : x
2. Step 2: Convert to fraction form
   100,380/137,642 = 137,642/x
3. Step 3: Cross multiply
   100,380x = 137,642 × 137,642
4. Step 4: Simplify right side
   100,380x = 18,945,320,164
5. Step 5: Solve for x
   x = 18,945,320,164/100,380
6. Step 6: Final answer
   x = 188,736.00