Finding the Third Proportional to 52,938 and 116,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,938 : 116,371.50 = 116,371.50 : x
2. Step 2: Convert to fraction form
   52,938/116,371.50 = 116,371.50/x
3. Step 3: Cross multiply
   52,938x = 116,371.50 × 116,371.50
4. Step 4: Simplify right side
   52,938x = 13,542,326,012.25
5. Step 5: Solve for x
   x = 13,542,326,012.25/52,938
6. Step 6: Final answer
   x = 255,814.84