Finding the Third Proportional to 77,168 and 169,108

Step by Step Solution

1. Step 1: Write the proportion equation
   77,168 : 169,108 = 169,108 : x
2. Step 2: Convert to fraction form
   77,168/169,108 = 169,108/x
3. Step 3: Cross multiply
   77,168x = 169,108 × 169,108
4. Step 4: Simplify right side
   77,168x = 28,597,515,664
5. Step 5: Solve for x
   x = 28,597,515,664/77,168
6. Step 6: Final answer
   x = 370,587.75