Finding the Third Proportional to 453,834 and 602,016

Step by Step Solution

1. Step 1: Write the proportion equation
   453,834 : 602,016 = 602,016 : x
2. Step 2: Convert to fraction form
   453,834/602,016 = 602,016/x
3. Step 3: Cross multiply
   453,834x = 602,016 × 602,016
4. Step 4: Simplify right side
   453,834x = 362,423,264,256
5. Step 5: Solve for x
   x = 362,423,264,256/453,834
6. Step 6: Final answer
   x = 798,581.12