Finding the Third Proportional to 113,652 and 173,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,652 : 173,938.50 = 173,938.50 : x
2. Step 2: Convert to fraction form
   113,652/173,938.50 = 173,938.50/x
3. Step 3: Cross multiply
   113,652x = 173,938.50 × 173,938.50
4. Step 4: Simplify right side
   113,652x = 30,254,601,782.25
5. Step 5: Solve for x
   x = 30,254,601,782.25/113,652
6. Step 6: Final answer
   x = 266,203.87