Finding the Third Proportional to 133,780 and 208,050

Step by Step Solution

1. Step 1: Write the proportion equation
   133,780 : 208,050 = 208,050 : x
2. Step 2: Convert to fraction form
   133,780/208,050 = 208,050/x
3. Step 3: Cross multiply
   133,780x = 208,050 × 208,050
4. Step 4: Simplify right side
   133,780x = 43,284,802,500
5. Step 5: Solve for x
   x = 43,284,802,500/133,780
6. Step 6: Final answer
   x = 323,552.12