Finding the Third Proportional to 142,290 and 206,090

Step by Step Solution

1. Step 1: Write the proportion equation
   142,290 : 206,090 = 206,090 : x
2. Step 2: Convert to fraction form
   142,290/206,090 = 206,090/x
3. Step 3: Cross multiply
   142,290x = 206,090 × 206,090
4. Step 4: Simplify right side
   142,290x = 42,473,088,100
5. Step 5: Solve for x
   x = 42,473,088,100/142,290
6. Step 6: Final answer
   x = 298,496.65