Finding the Third Proportional to 65,946 and 146,632

Step by Step Solution

1. Step 1: Write the proportion equation
   65,946 : 146,632 = 146,632 : x
2. Step 2: Convert to fraction form
   65,946/146,632 = 146,632/x
3. Step 3: Cross multiply
   65,946x = 146,632 × 146,632
4. Step 4: Simplify right side
   65,946x = 21,500,943,424
5. Step 5: Solve for x
   x = 21,500,943,424/65,946
6. Step 6: Final answer
   x = 326,038.63