Finding the Third Proportional to 201,892 and 313,499

Step by Step Solution

1. Step 1: Write the proportion equation
   201,892 : 313,499 = 313,499 : x
2. Step 2: Convert to fraction form
   201,892/313,499 = 313,499/x
3. Step 3: Cross multiply
   201,892x = 313,499 × 313,499
4. Step 4: Simplify right side
   201,892x = 98,281,623,001
5. Step 5: Solve for x
   x = 98,281,623,001/201,892
6. Step 6: Final answer
   x = 486,802.96