Finding the Third Proportional to 140,943 and 218,380

Step by Step Solution

1. Step 1: Write the proportion equation
   140,943 : 218,380 = 218,380 : x
2. Step 2: Convert to fraction form
   140,943/218,380 = 218,380/x
3. Step 3: Cross multiply
   140,943x = 218,380 × 218,380
4. Step 4: Simplify right side
   140,943x = 47,689,824,400
5. Step 5: Solve for x
   x = 47,689,824,400/140,943
6. Step 6: Final answer
   x = 338,362.49