Finding the Third Proportional to 90,592 and 185,216

Step by Step Solution

1. Step 1: Write the proportion equation
   90,592 : 185,216 = 185,216 : x
2. Step 2: Convert to fraction form
   90,592/185,216 = 185,216/x
3. Step 3: Cross multiply
   90,592x = 185,216 × 185,216
4. Step 4: Simplify right side
   90,592x = 34,304,966,656
5. Step 5: Solve for x
   x = 34,304,966,656/90,592
6. Step 6: Final answer
   x = 378,675.45