Finding the Third Proportional to 120,540 and 193,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,540 : 193,567.50 = 193,567.50 : x
2. Step 2: Convert to fraction form
   120,540/193,567.50 = 193,567.50/x
3. Step 3: Cross multiply
   120,540x = 193,567.50 × 193,567.50
4. Step 4: Simplify right side
   120,540x = 37,468,377,056.25
5. Step 5: Solve for x
   x = 37,468,377,056.25/120,540
6. Step 6: Final answer
   x = 310,837.71