Finding the Third Proportional to 90,290 and 186,748

Step by Step Solution

1. Step 1: Write the proportion equation
   90,290 : 186,748 = 186,748 : x
2. Step 2: Convert to fraction form
   90,290/186,748 = 186,748/x
3. Step 3: Cross multiply
   90,290x = 186,748 × 186,748
4. Step 4: Simplify right side
   90,290x = 34,874,815,504
5. Step 5: Solve for x
   x = 34,874,815,504/90,290
6. Step 6: Final answer
   x = 386,253.36