Finding the Third Proportional to 90,596 and 185,224

Step by Step Solution

1. Step 1: Write the proportion equation
   90,596 : 185,224 = 185,224 : x
2. Step 2: Convert to fraction form
   90,596/185,224 = 185,224/x
3. Step 3: Cross multiply
   90,596x = 185,224 × 185,224
4. Step 4: Simplify right side
   90,596x = 34,307,930,176
5. Step 5: Solve for x
   x = 34,307,930,176/90,596
6. Step 6: Final answer
   x = 378,691.45