Finding the Third Proportional to 43,210 and 89,498

Step by Step Solution

1. Step 1: Write the proportion equation
   43,210 : 89,498 = 89,498 : x
2. Step 2: Convert to fraction form
   43,210/89,498 = 89,498/x
3. Step 3: Cross multiply
   43,210x = 89,498 × 89,498
4. Step 4: Simplify right side
   43,210x = 8,009,892,004
5. Step 5: Solve for x
   x = 8,009,892,004/43,210
6. Step 6: Final answer
   x = 185,371.26