Finding the Third Proportional to 314,564 and 500,342

Step by Step Solution

1. Step 1: Write the proportion equation
   314,564 : 500,342 = 500,342 : x
2. Step 2: Convert to fraction form
   314,564/500,342 = 500,342/x
3. Step 3: Cross multiply
   314,564x = 500,342 × 500,342
4. Step 4: Simplify right side
   314,564x = 250,342,116,964
5. Step 5: Solve for x
   x = 250,342,116,964/314,564
6. Step 6: Final answer
   x = 795,838.42