Finding the Third Proportional to 52,714.50 and 116,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,714.50 : 116,227.50 = 116,227.50 : x
2. Step 2: Convert to fraction form
   52,714.50/116,227.50 = 116,227.50/x
3. Step 3: Cross multiply
   52,714.50x = 116,227.50 × 116,227.50
4. Step 4: Simplify right side
   52,714.50x = 13,508,831,756.25
5. Step 5: Solve for x
   x = 13,508,831,756.25/52,714.50
6. Step 6: Final answer
   x = 256,264.06