Finding the Third Proportional to 52,723.50 and 115,278

Step by Step Solution

1. Step 1: Write the proportion equation
   52,723.50 : 115,278 = 115,278 : x
2. Step 2: Convert to fraction form
   52,723.50/115,278 = 115,278/x
3. Step 3: Cross multiply
   52,723.50x = 115,278 × 115,278
4. Step 4: Simplify right side
   52,723.50x = 13,289,017,284
5. Step 5: Solve for x
   x = 13,289,017,284/52,723.50
6. Step 6: Final answer
   x = 252,051.12