Finding the Third Proportional to 142,300 and 206,102

Step by Step Solution

1. Step 1: Write the proportion equation
   142,300 : 206,102 = 206,102 : x
2. Step 2: Convert to fraction form
   142,300/206,102 = 206,102/x
3. Step 3: Cross multiply
   142,300x = 206,102 × 206,102
4. Step 4: Simplify right side
   142,300x = 42,478,034,404
5. Step 5: Solve for x
   x = 42,478,034,404/142,300
6. Step 6: Final answer
   x = 298,510.43