Finding the Third Proportional to 56,478 and 89,341

Step by Step Solution

1. Step 1: Write the proportion equation
   56,478 : 89,341 = 89,341 : x
2. Step 2: Convert to fraction form
   56,478/89,341 = 89,341/x
3. Step 3: Cross multiply
   56,478x = 89,341 × 89,341
4. Step 4: Simplify right side
   56,478x = 7,981,814,281
5. Step 5: Solve for x
   x = 7,981,814,281/56,478
6. Step 6: Final answer
   x = 141,326.08