Finding the Third Proportional to 43,229 and 89,458

Step by Step Solution

1. Step 1: Write the proportion equation
   43,229 : 89,458 = 89,458 : x
2. Step 2: Convert to fraction form
   43,229/89,458 = 89,458/x
3. Step 3: Cross multiply
   43,229x = 89,458 × 89,458
4. Step 4: Simplify right side
   43,229x = 8,002,733,764
5. Step 5: Solve for x
   x = 8,002,733,764/43,229
6. Step 6: Final answer
   x = 185,124.19