Finding the Third Proportional to 200,046 and 309,654

Step by Step Solution

1. Step 1: Write the proportion equation
   200,046 : 309,654 = 309,654 : x
2. Step 2: Convert to fraction form
   200,046/309,654 = 309,654/x
3. Step 3: Cross multiply
   200,046x = 309,654 × 309,654
4. Step 4: Simplify right side
   200,046x = 95,885,599,716
5. Step 5: Solve for x
   x = 95,885,599,716/200,046
6. Step 6: Final answer
   x = 479,317.76