Finding the Third Proportional to 152,793 and 340,578

Step by Step Solution

1. Step 1: Write the proportion equation
   152,793 : 340,578 = 340,578 : x
2. Step 2: Convert to fraction form
   152,793/340,578 = 340,578/x
3. Step 3: Cross multiply
   152,793x = 340,578 × 340,578
4. Step 4: Simplify right side
   152,793x = 115,993,374,084
5. Step 5: Solve for x
   x = 115,993,374,084/152,793
6. Step 6: Final answer
   x = 759,153.72