Finding the Third Proportional to 105,429 and 168,620

Step by Step Solution

1. Step 1: Write the proportion equation
   105,429 : 168,620 = 168,620 : x
2. Step 2: Convert to fraction form
   105,429/168,620 = 168,620/x
3. Step 3: Cross multiply
   105,429x = 168,620 × 168,620
4. Step 4: Simplify right side
   105,429x = 28,432,704,400
5. Step 5: Solve for x
   x = 28,432,704,400/105,429
6. Step 6: Final answer
   x = 269,685.80