Finding the Third Proportional to 140,126 and 213,429

Step by Step Solution

1. Step 1: Write the proportion equation
   140,126 : 213,429 = 213,429 : x
2. Step 2: Convert to fraction form
   140,126/213,429 = 213,429/x
3. Step 3: Cross multiply
   140,126x = 213,429 × 213,429
4. Step 4: Simplify right side
   140,126x = 45,551,938,041
5. Step 5: Solve for x
   x = 45,551,938,041/140,126
6. Step 6: Final answer
   x = 325,078.42