Finding the Third Proportional to 201,644 and 309,515.75

Step by Step Solution

1. Step 1: Write the proportion equation
   201,644 : 309,515.75 = 309,515.75 : x
2. Step 2: Convert to fraction form
   201,644/309,515.75 = 309,515.75/x
3. Step 3: Cross multiply
   201,644x = 309,515.75 × 309,515.75
4. Step 4: Simplify right side
   201,644x = 95,799,999,498.06
5. Step 5: Solve for x
   x = 95,799,999,498.06/201,644
6. Step 6: Final answer
   x = 475,094.72