Finding the Third Proportional to 140,817 and 212,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,817 : 212,422.50 = 212,422.50 : x
2. Step 2: Convert to fraction form
   140,817/212,422.50 = 212,422.50/x
3. Step 3: Cross multiply
   140,817x = 212,422.50 × 212,422.50
4. Step 4: Simplify right side
   140,817x = 45,123,318,506.25
5. Step 5: Solve for x
   x = 45,123,318,506.25/140,817
6. Step 6: Final answer
   x = 320,439.42