Finding the Third Proportional to 405,414 and 635,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,414 : 635,971.50 = 635,971.50 : x
2. Step 2: Convert to fraction form
   405,414/635,971.50 = 635,971.50/x
3. Step 3: Cross multiply
   405,414x = 635,971.50 × 635,971.50
4. Step 4: Simplify right side
   405,414x = 404,459,748,812.25
5. Step 5: Solve for x
   x = 404,459,748,812.25/405,414
6. Step 6: Final answer
   x = 997,646.23