Finding the Third Proportional to 61,238 and 89,759

Step by Step Solution

1. Step 1: Write the proportion equation
   61,238 : 89,759 = 89,759 : x
2. Step 2: Convert to fraction form
   61,238/89,759 = 89,759/x
3. Step 3: Cross multiply
   61,238x = 89,759 × 89,759
4. Step 4: Simplify right side
   61,238x = 8,056,678,081
5. Step 5: Solve for x
   x = 8,056,678,081/61,238
6. Step 6: Final answer
   x = 131,563.38