Finding the Third Proportional to 102,870 and 208,602

Step by Step Solution

1. Step 1: Write the proportion equation
   102,870 : 208,602 = 208,602 : x
2. Step 2: Convert to fraction form
   102,870/208,602 = 208,602/x
3. Step 3: Cross multiply
   102,870x = 208,602 × 208,602
4. Step 4: Simplify right side
   102,870x = 43,514,794,404
5. Step 5: Solve for x
   x = 43,514,794,404/102,870
6. Step 6: Final answer
   x = 423,007.63