Finding the Third Proportional to 52,267 and 114,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,267 : 114,938.50 = 114,938.50 : x
2. Step 2: Convert to fraction form
   52,267/114,938.50 = 114,938.50/x
3. Step 3: Cross multiply
   52,267x = 114,938.50 × 114,938.50
4. Step 4: Simplify right side
   52,267x = 13,210,858,782.25
5. Step 5: Solve for x
   x = 13,210,858,782.25/52,267
6. Step 6: Final answer
   x = 252,757.17