Finding the Third Proportional to 78,412 and 169,783

Step by Step Solution

1. Step 1: Write the proportion equation
   78,412 : 169,783 = 169,783 : x
2. Step 2: Convert to fraction form
   78,412/169,783 = 169,783/x
3. Step 3: Cross multiply
   78,412x = 169,783 × 169,783
4. Step 4: Simplify right side
   78,412x = 28,826,267,089
5. Step 5: Solve for x
   x = 28,826,267,089/78,412
6. Step 6: Final answer
   x = 367,625.71