Finding the Third Proportional to 90,585 and 196,752

Step by Step Solution

1. Step 1: Write the proportion equation
   90,585 : 196,752 = 196,752 : x
2. Step 2: Convert to fraction form
   90,585/196,752 = 196,752/x
3. Step 3: Cross multiply
   90,585x = 196,752 × 196,752
4. Step 4: Simplify right side
   90,585x = 38,711,349,504
5. Step 5: Solve for x
   x = 38,711,349,504/90,585
6. Step 6: Final answer
   x = 427,348.34