Finding the Third Proportional to 78,958 and 169,628

Step by Step Solution

1. Step 1: Write the proportion equation
   78,958 : 169,628 = 169,628 : x
2. Step 2: Convert to fraction form
   78,958/169,628 = 169,628/x
3. Step 3: Cross multiply
   78,958x = 169,628 × 169,628
4. Step 4: Simplify right side
   78,958x = 28,773,658,384
5. Step 5: Solve for x
   x = 28,773,658,384/78,958
6. Step 6: Final answer
   x = 364,417.26