Finding the Third Proportional to 201,648 and 309,522

Step by Step Solution

1. Step 1: Write the proportion equation
   201,648 : 309,522 = 309,522 : x
2. Step 2: Convert to fraction form
   201,648/309,522 = 309,522/x
3. Step 3: Cross multiply
   201,648x = 309,522 × 309,522
4. Step 4: Simplify right side
   201,648x = 95,803,868,484
5. Step 5: Solve for x
   x = 95,803,868,484/201,648
6. Step 6: Final answer
   x = 475,104.48