Finding the Third Proportional to 90,209 and 142,834

Step by Step Solution

1. Step 1: Write the proportion equation
   90,209 : 142,834 = 142,834 : x
2. Step 2: Convert to fraction form
   90,209/142,834 = 142,834/x
3. Step 3: Cross multiply
   90,209x = 142,834 × 142,834
4. Step 4: Simplify right side
   90,209x = 20,401,551,556
5. Step 5: Solve for x
   x = 20,401,551,556/90,209
6. Step 6: Final answer
   x = 226,158.72