Finding the Third Proportional to 237,897 and 368,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,897 : 368,185.50 = 368,185.50 : x
2. Step 2: Convert to fraction form
   237,897/368,185.50 = 368,185.50/x
3. Step 3: Cross multiply
   237,897x = 368,185.50 × 368,185.50
4. Step 4: Simplify right side
   237,897x = 135,560,562,410.25
5. Step 5: Solve for x
   x = 135,560,562,410.25/237,897
6. Step 6: Final answer
   x = 569,828.80