Finding the Third Proportional to 67,546 and 146,984

Step by Step Solution

1. Step 1: Write the proportion equation
   67,546 : 146,984 = 146,984 : x
2. Step 2: Convert to fraction form
   67,546/146,984 = 146,984/x
3. Step 3: Cross multiply
   67,546x = 146,984 × 146,984
4. Step 4: Simplify right side
   67,546x = 21,604,296,256
5. Step 5: Solve for x
   x = 21,604,296,256/67,546
6. Step 6: Final answer
   x = 319,845.68