Finding the Third Proportional to 133,094 and 206,422

Step by Step Solution

1. Step 1: Write the proportion equation
   133,094 : 206,422 = 206,422 : x
2. Step 2: Convert to fraction form
   133,094/206,422 = 206,422/x
3. Step 3: Cross multiply
   133,094x = 206,422 × 206,422
4. Step 4: Simplify right side
   133,094x = 42,610,042,084
5. Step 5: Solve for x
   x = 42,610,042,084/133,094
6. Step 6: Final answer
   x = 320,149.98