Finding the Third Proportional to 65,888 and 146,536

Step by Step Solution

1. Step 1: Write the proportion equation
   65,888 : 146,536 = 146,536 : x
2. Step 2: Convert to fraction form
   65,888/146,536 = 146,536/x
3. Step 3: Cross multiply
   65,888x = 146,536 × 146,536
4. Step 4: Simplify right side
   65,888x = 21,472,799,296
5. Step 5: Solve for x
   x = 21,472,799,296/65,888
6. Step 6: Final answer
   x = 325,898.48