Finding the Third Proportional to 105,380 and 187,369

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 187,369 = 187,369 : x
2. Step 2: Convert to fraction form
   105,380/187,369 = 187,369/x
3. Step 3: Cross multiply
   105,380x = 187,369 × 187,369
4. Step 4: Simplify right side
   105,380x = 35,107,142,161
5. Step 5: Solve for x
   x = 35,107,142,161/105,380
6. Step 6: Final answer
   x = 333,148.06