Finding the Third Proportional to 35,940 and 78,940

Step by Step Solution

1. Step 1: Write the proportion equation
   35,940 : 78,940 = 78,940 : x
2. Step 2: Convert to fraction form
   35,940/78,940 = 78,940/x
3. Step 3: Cross multiply
   35,940x = 78,940 × 78,940
4. Step 4: Simplify right side
   35,940x = 6,231,523,600
5. Step 5: Solve for x
   x = 6,231,523,600/35,940
6. Step 6: Final answer
   x = 173,386.86