Finding the Third Proportional to 137,781 and 237,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,781 : 237,775.50 = 237,775.50 : x
2. Step 2: Convert to fraction form
   137,781/237,775.50 = 237,775.50/x
3. Step 3: Cross multiply
   137,781x = 237,775.50 × 237,775.50
4. Step 4: Simplify right side
   137,781x = 56,537,188,400.25
5. Step 5: Solve for x
   x = 56,537,188,400.25/137,781
6. Step 6: Final answer
   x = 410,340.96