Finding the Third Proportional to 135,234 and 212,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,234 : 212,134.50 = 212,134.50 : x
2. Step 2: Convert to fraction form
   135,234/212,134.50 = 212,134.50/x
3. Step 3: Cross multiply
   135,234x = 212,134.50 × 212,134.50
4. Step 4: Simplify right side
   135,234x = 45,001,046,090.25
5. Step 5: Solve for x
   x = 45,001,046,090.25/135,234
6. Step 6: Final answer
   x = 332,764.29