Finding the Third Proportional to 65,508 and 153,984

Step by Step Solution

1. Step 1: Write the proportion equation
   65,508 : 153,984 = 153,984 : x
2. Step 2: Convert to fraction form
   65,508/153,984 = 153,984/x
3. Step 3: Cross multiply
   65,508x = 153,984 × 153,984
4. Step 4: Simplify right side
   65,508x = 23,711,072,256
5. Step 5: Solve for x
   x = 23,711,072,256/65,508
6. Step 6: Final answer
   x = 361,956.89