Finding the Third Proportional to 142,292 and 206,090

Step by Step Solution

1. Step 1: Write the proportion equation
   142,292 : 206,090 = 206,090 : x
2. Step 2: Convert to fraction form
   142,292/206,090 = 206,090/x
3. Step 3: Cross multiply
   142,292x = 206,090 × 206,090
4. Step 4: Simplify right side
   142,292x = 42,473,088,100
5. Step 5: Solve for x
   x = 42,473,088,100/142,292
6. Step 6: Final answer
   x = 298,492.45