Finding the Third Proportional to 56,382 and 89,211

Step by Step Solution

1. Step 1: Write the proportion equation
   56,382 : 89,211 = 89,211 : x
2. Step 2: Convert to fraction form
   56,382/89,211 = 89,211/x
3. Step 3: Cross multiply
   56,382x = 89,211 × 89,211
4. Step 4: Simplify right side
   56,382x = 7,958,602,521
5. Step 5: Solve for x
   x = 7,958,602,521/56,382
6. Step 6: Final answer
   x = 141,155.02