Finding the Third Proportional to 35,950 and 78,008

Step by Step Solution

1. Step 1: Write the proportion equation
   35,950 : 78,008 = 78,008 : x
2. Step 2: Convert to fraction form
   35,950/78,008 = 78,008/x
3. Step 3: Cross multiply
   35,950x = 78,008 × 78,008
4. Step 4: Simplify right side
   35,950x = 6,085,248,064
5. Step 5: Solve for x
   x = 6,085,248,064/35,950
6. Step 6: Final answer
   x = 169,269.77