Finding the Third Proportional to 137,439 and 208,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,439 : 208,072.50 = 208,072.50 : x
2. Step 2: Convert to fraction form
   137,439/208,072.50 = 208,072.50/x
3. Step 3: Cross multiply
   137,439x = 208,072.50 × 208,072.50
4. Step 4: Simplify right side
   137,439x = 43,294,165,256.25
5. Step 5: Solve for x
   x = 43,294,165,256.25/137,439
6. Step 6: Final answer
   x = 315,006.40