Finding the Third Proportional to 116,826 and 253,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,826 : 253,333.50 = 253,333.50 : x
2. Step 2: Convert to fraction form
   116,826/253,333.50 = 253,333.50/x
3. Step 3: Cross multiply
   116,826x = 253,333.50 × 253,333.50
4. Step 4: Simplify right side
   116,826x = 64,177,862,222.25
5. Step 5: Solve for x
   x = 64,177,862,222.25/116,826
6. Step 6: Final answer
   x = 549,345.71