Finding the Third Proportional to 414,542 and 885,960

Step by Step Solution

1. Step 1: Write the proportion equation
   414,542 : 885,960 = 885,960 : x
2. Step 2: Convert to fraction form
   414,542/885,960 = 885,960/x
3. Step 3: Cross multiply
   414,542x = 885,960 × 885,960
4. Step 4: Simplify right side
   414,542x = 784,925,121,600
5. Step 5: Solve for x
   x = 784,925,121,600/414,542
6. Step 6: Final answer
   x = 1,893,475.50