Finding the Third Proportional to 61,826 and 90,147

Step by Step Solution

1. Step 1: Write the proportion equation
   61,826 : 90,147 = 90,147 : x
2. Step 2: Convert to fraction form
   61,826/90,147 = 90,147/x
3. Step 3: Cross multiply
   61,826x = 90,147 × 90,147
4. Step 4: Simplify right side
   61,826x = 8,126,481,609
5. Step 5: Solve for x
   x = 8,126,481,609/61,826
6. Step 6: Final answer
   x = 131,441.17