Finding the Third Proportional to 90,142 and 208,670

Step by Step Solution

1. Step 1: Write the proportion equation
   90,142 : 208,670 = 208,670 : x
2. Step 2: Convert to fraction form
   90,142/208,670 = 208,670/x
3. Step 3: Cross multiply
   90,142x = 208,670 × 208,670
4. Step 4: Simplify right side
   90,142x = 43,543,168,900
5. Step 5: Solve for x
   x = 43,543,168,900/90,142
6. Step 6: Final answer
   x = 483,050.84