Finding the Third Proportional to 77,913 and 169,002

Step by Step Solution

1. Step 1: Write the proportion equation
   77,913 : 169,002 = 169,002 : x
2. Step 2: Convert to fraction form
   77,913/169,002 = 169,002/x
3. Step 3: Cross multiply
   77,913x = 169,002 × 169,002
4. Step 4: Simplify right side
   77,913x = 28,561,676,004
5. Step 5: Solve for x
   x = 28,561,676,004/77,913
6. Step 6: Final answer
   x = 366,584.22