Finding the Third Proportional to 92,007 and 187,884

Step by Step Solution

1. Step 1: Write the proportion equation
   92,007 : 187,884 = 187,884 : x
2. Step 2: Convert to fraction form
   92,007/187,884 = 187,884/x
3. Step 3: Cross multiply
   92,007x = 187,884 × 187,884
4. Step 4: Simplify right side
   92,007x = 35,300,397,456
5. Step 5: Solve for x
   x = 35,300,397,456/92,007
6. Step 6: Final answer
   x = 383,670.78