Finding the Third Proportional to 57,206 and 89,294

Step by Step Solution

1. Step 1: Write the proportion equation
   57,206 : 89,294 = 89,294 : x
2. Step 2: Convert to fraction form
   57,206/89,294 = 89,294/x
3. Step 3: Cross multiply
   57,206x = 89,294 × 89,294
4. Step 4: Simplify right side
   57,206x = 7,973,418,436
5. Step 5: Solve for x
   x = 7,973,418,436/57,206
6. Step 6: Final answer
   x = 139,380.81