Finding the Third Proportional to 144,080 and 212,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,080 : 212,393.50 = 212,393.50 : x
2. Step 2: Convert to fraction form
   144,080/212,393.50 = 212,393.50/x
3. Step 3: Cross multiply
   144,080x = 212,393.50 × 212,393.50
4. Step 4: Simplify right side
   144,080x = 45,110,998,842.25
5. Step 5: Solve for x
   x = 45,110,998,842.25/144,080
6. Step 6: Final answer
   x = 313,096.88