Finding the Third Proportional to 200,322 and 309,763.69

Step by Step Solution

1. Step 1: Write the proportion equation
   200,322 : 309,763.69 = 309,763.69 : x
2. Step 2: Convert to fraction form
   200,322/309,763.69 = 309,763.69/x
3. Step 3: Cross multiply
   200,322x = 309,763.69 × 309,763.69
4. Step 4: Simplify right side
   200,322x = 95,953,542,093.60
5. Step 5: Solve for x
   x = 95,953,542,093.60/200,322
6. Step 6: Final answer
   x = 478,996.53