Finding the Third Proportional to 345,648 and 536,454

Step by Step Solution

1. Step 1: Write the proportion equation
   345,648 : 536,454 = 536,454 : x
2. Step 2: Convert to fraction form
   345,648/536,454 = 536,454/x
3. Step 3: Cross multiply
   345,648x = 536,454 × 536,454
4. Step 4: Simplify right side
   345,648x = 287,782,894,116
5. Step 5: Solve for x
   x = 287,782,894,116/345,648
6. Step 6: Final answer
   x = 832,589.50