Finding the Third Proportional to 140,946 and 215,884

Step by Step Solution

1. Step 1: Write the proportion equation
   140,946 : 215,884 = 215,884 : x
2. Step 2: Convert to fraction form
   140,946/215,884 = 215,884/x
3. Step 3: Cross multiply
   140,946x = 215,884 × 215,884
4. Step 4: Simplify right side
   140,946x = 46,605,901,456
5. Step 5: Solve for x
   x = 46,605,901,456/140,946
6. Step 6: Final answer
   x = 330,664.95