Finding the Third Proportional to 140,767.50 and 212,367

Step by Step Solution

1. Step 1: Write the proportion equation
   140,767.50 : 212,367 = 212,367 : x
2. Step 2: Convert to fraction form
   140,767.50/212,367 = 212,367/x
3. Step 3: Cross multiply
   140,767.50x = 212,367 × 212,367
4. Step 4: Simplify right side
   140,767.50x = 45,099,742,689
5. Step 5: Solve for x
   x = 45,099,742,689/140,767.50
6. Step 6: Final answer
   x = 320,384.62