Finding the Third Proportional to 453,314 and 613,404

Step by Step Solution

1. Step 1: Write the proportion equation
   453,314 : 613,404 = 613,404 : x
2. Step 2: Convert to fraction form
   453,314/613,404 = 613,404/x
3. Step 3: Cross multiply
   453,314x = 613,404 × 613,404
4. Step 4: Simplify right side
   453,314x = 376,264,467,216
5. Step 5: Solve for x
   x = 376,264,467,216/453,314
6. Step 6: Final answer
   x = 830,030.55