Finding the Third Proportional to 90,768 and 186,128

Step by Step Solution

1. Step 1: Write the proportion equation
   90,768 : 186,128 = 186,128 : x
2. Step 2: Convert to fraction form
   90,768/186,128 = 186,128/x
3. Step 3: Cross multiply
   90,768x = 186,128 × 186,128
4. Step 4: Simplify right side
   90,768x = 34,643,632,384
5. Step 5: Solve for x
   x = 34,643,632,384/90,768
6. Step 6: Final answer
   x = 381,672.31