Finding the Third Proportional to 101,142 and 208,818

Step by Step Solution

1. Step 1: Write the proportion equation
   101,142 : 208,818 = 208,818 : x
2. Step 2: Convert to fraction form
   101,142/208,818 = 208,818/x
3. Step 3: Cross multiply
   101,142x = 208,818 × 208,818
4. Step 4: Simplify right side
   101,142x = 43,604,957,124
5. Step 5: Solve for x
   x = 43,604,957,124/101,142
6. Step 6: Final answer
   x = 431,126.11