Finding the Third Proportional to 116,023.50 and 253,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,023.50 : 253,183.50 = 253,183.50 : x
2. Step 2: Convert to fraction form
   116,023.50/253,183.50 = 253,183.50/x
3. Step 3: Cross multiply
   116,023.50x = 253,183.50 × 253,183.50
4. Step 4: Simplify right side
   116,023.50x = 64,101,884,672.25
5. Step 5: Solve for x
   x = 64,101,884,672.25/116,023.50
6. Step 6: Final answer
   x = 552,490.53