Finding the Third Proportional to 116,892 and 253,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,892 : 253,709.50 = 253,709.50 : x
2. Step 2: Convert to fraction form
   116,892/253,709.50 = 253,709.50/x
3. Step 3: Cross multiply
   116,892x = 253,709.50 × 253,709.50
4. Step 4: Simplify right side
   116,892x = 64,368,510,390.25
5. Step 5: Solve for x
   x = 64,368,510,390.25/116,892
6. Step 6: Final answer
   x = 550,666.52