Finding the Third Proportional to 133,735.50 and 278,676

Step by Step Solution

1. Step 1: Write the proportion equation
   133,735.50 : 278,676 = 278,676 : x
2. Step 2: Convert to fraction form
   133,735.50/278,676 = 278,676/x
3. Step 3: Cross multiply
   133,735.50x = 278,676 × 278,676
4. Step 4: Simplify right side
   133,735.50x = 77,660,312,976
5. Step 5: Solve for x
   x = 77,660,312,976/133,735.50
6. Step 6: Final answer
   x = 580,700.81