Finding the Third Proportional to 52,768.50 and 115,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,768.50 : 115,543.50 = 115,543.50 : x
2. Step 2: Convert to fraction form
   52,768.50/115,543.50 = 115,543.50/x
3. Step 3: Cross multiply
   52,768.50x = 115,543.50 × 115,543.50
4. Step 4: Simplify right side
   52,768.50x = 13,350,300,392.25
5. Step 5: Solve for x
   x = 13,350,300,392.25/52,768.50
6. Step 6: Final answer
   x = 252,997.53