Finding the Third Proportional to 90,814 and 185,638

Step by Step Solution

1. Step 1: Write the proportion equation
   90,814 : 185,638 = 185,638 : x
2. Step 2: Convert to fraction form
   90,814/185,638 = 185,638/x
3. Step 3: Cross multiply
   90,814x = 185,638 × 185,638
4. Step 4: Simplify right side
   90,814x = 34,461,467,044
5. Step 5: Solve for x
   x = 34,461,467,044/90,814
6. Step 6: Final answer
   x = 379,473.07