Finding the Third Proportional to 453,312 and 613,401

Step by Step Solution

1. Step 1: Write the proportion equation
   453,312 : 613,401 = 613,401 : x
2. Step 2: Convert to fraction form
   453,312/613,401 = 613,401/x
3. Step 3: Cross multiply
   453,312x = 613,401 × 613,401
4. Step 4: Simplify right side
   453,312x = 376,260,786,801
5. Step 5: Solve for x
   x = 376,260,786,801/453,312
6. Step 6: Final answer
   x = 830,026.09