Finding the Third Proportional to 201,644.25 and 309,516

Step by Step Solution

1. Step 1: Write the proportion equation
   201,644.25 : 309,516 = 309,516 : x
2. Step 2: Convert to fraction form
   201,644.25/309,516 = 309,516/x
3. Step 3: Cross multiply
   201,644.25x = 309,516 × 309,516
4. Step 4: Simplify right side
   201,644.25x = 95,800,154,256
5. Step 5: Solve for x
   x = 95,800,154,256/201,644.25
6. Step 6: Final answer
   x = 475,094.90