Finding the Third Proportional to 534,186 and 826,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   534,186 : 826,027.50 = 826,027.50 : x
2. Step 2: Convert to fraction form
   534,186/826,027.50 = 826,027.50/x
3. Step 3: Cross multiply
   534,186x = 826,027.50 × 826,027.50
4. Step 4: Simplify right side
   534,186x = 682,321,430,756.25
5. Step 5: Solve for x
   x = 682,321,430,756.25/534,186
6. Step 6: Final answer
   x = 1,277,310.58