Finding the Third Proportional to 341,648 and 520,736

Step by Step Solution

1. Step 1: Write the proportion equation
   341,648 : 520,736 = 520,736 : x
2. Step 2: Convert to fraction form
   341,648/520,736 = 520,736/x
3. Step 3: Cross multiply
   341,648x = 520,736 × 520,736
4. Step 4: Simplify right side
   341,648x = 271,165,981,696
5. Step 5: Solve for x
   x = 271,165,981,696/341,648
6. Step 6: Final answer
   x = 793,699.89