Finding the Third Proportional to 105,390 and 187,389

Step by Step Solution

1. Step 1: Write the proportion equation
   105,390 : 187,389 = 187,389 : x
2. Step 2: Convert to fraction form
   105,390/187,389 = 187,389/x
3. Step 3: Cross multiply
   105,390x = 187,389 × 187,389
4. Step 4: Simplify right side
   105,390x = 35,114,637,321
5. Step 5: Solve for x
   x = 35,114,637,321/105,390
6. Step 6: Final answer
   x = 333,187.56