Finding the Third Proportional to 78,780 and 169,998

Step by Step Solution

1. Step 1: Write the proportion equation
   78,780 : 169,998 = 169,998 : x
2. Step 2: Convert to fraction form
   78,780/169,998 = 169,998/x
3. Step 3: Cross multiply
   78,780x = 169,998 × 169,998
4. Step 4: Simplify right side
   78,780x = 28,899,320,004
5. Step 5: Solve for x
   x = 28,899,320,004/78,780
6. Step 6: Final answer
   x = 366,835.75