Finding the Third Proportional to 137,200.50 and 215,510.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,200.50 : 215,510.25 = 215,510.25 : x
2. Step 2: Convert to fraction form
   137,200.50/215,510.25 = 215,510.25/x
3. Step 3: Cross multiply
   137,200.50x = 215,510.25 × 215,510.25
4. Step 4: Simplify right side
   137,200.50x = 46,444,667,855.06
5. Step 5: Solve for x
   x = 46,444,667,855.06/137,200.50
6. Step 6: Final answer
   x = 338,516.75