Finding the Third Proportional to 144,080 and 231,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,080 : 231,497.50 = 231,497.50 : x
2. Step 2: Convert to fraction form
   144,080/231,497.50 = 231,497.50/x
3. Step 3: Cross multiply
   144,080x = 231,497.50 × 231,497.50
4. Step 4: Simplify right side
   144,080x = 53,591,092,506.25
5. Step 5: Solve for x
   x = 53,591,092,506.25/144,080
6. Step 6: Final answer
   x = 371,953.72