Finding the Third Proportional to 137,583 and 207,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,583 : 207,760.50 = 207,760.50 : x
2. Step 2: Convert to fraction form
   137,583/207,760.50 = 207,760.50/x
3. Step 3: Cross multiply
   137,583x = 207,760.50 × 207,760.50
4. Step 4: Simplify right side
   137,583x = 43,164,425,360.25
5. Step 5: Solve for x
   x = 43,164,425,360.25/137,583
6. Step 6: Final answer
   x = 313,733.71