Finding the Third Proportional to 401,196.75 and 623,224.69

Step by Step Solution

1. Step 1: Write the proportion equation
   401,196.75 : 623,224.69 = 623,224.69 : x
2. Step 2: Convert to fraction form
   401,196.75/623,224.69 = 623,224.69/x
3. Step 3: Cross multiply
   401,196.75x = 623,224.69 × 623,224.69
4. Step 4: Simplify right side
   401,196.75x = 388,409,011,109.47
5. Step 5: Solve for x
   x = 388,409,011,109.47/401,196.75
6. Step 6: Final answer
   x = 968,126.02