Finding the Third Proportional to 100,492 and 209,253

Step by Step Solution

1. Step 1: Write the proportion equation
   100,492 : 209,253 = 209,253 : x
2. Step 2: Convert to fraction form
   100,492/209,253 = 209,253/x
3. Step 3: Cross multiply
   100,492x = 209,253 × 209,253
4. Step 4: Simplify right side
   100,492x = 43,786,818,009
5. Step 5: Solve for x
   x = 43,786,818,009/100,492
6. Step 6: Final answer
   x = 435,724.42