Finding the Third Proportional to 105,890.63 and 206,461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105,890.63 : 206,461.69 = 206,461.69 : x
2. Step 2: Convert to fraction form
   105,890.63/206,461.69 = 206,461.69/x
3. Step 3: Cross multiply
   105,890.63x = 206,461.69 × 206,461.69
4. Step 4: Simplify right side
   105,890.63x = 42,626,428,405.35
5. Step 5: Solve for x
   x = 42,626,428,405.35/105,890.63
6. Step 6: Final answer
   x = 402,551.49