Finding the Third Proportional to 140,956 and 210,340

Step by Step Solution

1. Step 1: Write the proportion equation
   140,956 : 210,340 = 210,340 : x
2. Step 2: Convert to fraction form
   140,956/210,340 = 210,340/x
3. Step 3: Cross multiply
   140,956x = 210,340 × 210,340
4. Step 4: Simplify right side
   140,956x = 44,242,915,600
5. Step 5: Solve for x
   x = 44,242,915,600/140,956
6. Step 6: Final answer
   x = 313,877.49