Finding the Third Proportional to 77,886 and 169,443

Step by Step Solution

1. Step 1: Write the proportion equation
   77,886 : 169,443 = 169,443 : x
2. Step 2: Convert to fraction form
   77,886/169,443 = 169,443/x
3. Step 3: Cross multiply
   77,886x = 169,443 × 169,443
4. Step 4: Simplify right side
   77,886x = 28,710,930,249
5. Step 5: Solve for x
   x = 28,710,930,249/77,886
6. Step 6: Final answer
   x = 368,627.61