Finding the Third Proportional to 61,265 and 89,233

Step by Step Solution

1. Step 1: Write the proportion equation
   61,265 : 89,233 = 89,233 : x
2. Step 2: Convert to fraction form
   61,265/89,233 = 89,233/x
3. Step 3: Cross multiply
   61,265x = 89,233 × 89,233
4. Step 4: Simplify right side
   61,265x = 7,962,528,289
5. Step 5: Solve for x
   x = 7,962,528,289/61,265
6. Step 6: Final answer
   x = 129,968.63