Finding the Third Proportional to 65,875 and 146,488

Step by Step Solution

1. Step 1: Write the proportion equation
   65,875 : 146,488 = 146,488 : x
2. Step 2: Convert to fraction form
   65,875/146,488 = 146,488/x
3. Step 3: Cross multiply
   65,875x = 146,488 × 146,488
4. Step 4: Simplify right side
   65,875x = 21,458,734,144
5. Step 5: Solve for x
   x = 21,458,734,144/65,875
6. Step 6: Final answer
   x = 325,749.28