Finding the Third Proportional to 146,500 and 315,752

Step by Step Solution

1. Step 1: Write the proportion equation
   146,500 : 315,752 = 315,752 : x
2. Step 2: Convert to fraction form
   146,500/315,752 = 315,752/x
3. Step 3: Cross multiply
   146,500x = 315,752 × 315,752
4. Step 4: Simplify right side
   146,500x = 99,699,325,504
5. Step 5: Solve for x
   x = 99,699,325,504/146,500
6. Step 6: Final answer
   x = 680,541.47