Finding the Third Proportional to 35,946 and 78,000

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946 : 78,000 = 78,000 : x
2. Step 2: Convert to fraction form
   35,946/78,000 = 78,000/x
3. Step 3: Cross multiply
   35,946x = 78,000 × 78,000
4. Step 4: Simplify right side
   35,946x = 6,084,000,000
5. Step 5: Solve for x
   x = 6,084,000,000/35,946
6. Step 6: Final answer
   x = 169,253.88