Finding the Third Proportional to 102,896 and 208,654

Step by Step Solution

1. Step 1: Write the proportion equation
   102,896 : 208,654 = 208,654 : x
2. Step 2: Convert to fraction form
   102,896/208,654 = 208,654/x
3. Step 3: Cross multiply
   102,896x = 208,654 × 208,654
4. Step 4: Simplify right side
   102,896x = 43,536,491,716
5. Step 5: Solve for x
   x = 43,536,491,716/102,896
6. Step 6: Final answer
   x = 423,111.61