Finding the Third Proportional to 137,538 and 210,395.25

Step by Step Solution

1. Step 1: Write the proportion equation
   137,538 : 210,395.25 = 210,395.25 : x
2. Step 2: Convert to fraction form
   137,538/210,395.25 = 210,395.25/x
3. Step 3: Cross multiply
   137,538x = 210,395.25 × 210,395.25
4. Step 4: Simplify right side
   137,538x = 44,266,161,222.56
5. Step 5: Solve for x
   x = 44,266,161,222.56/137,538
6. Step 6: Final answer
   x = 321,846.77