Finding the Third Proportional to 43,758 and 89,362

Step by Step Solution

1. Step 1: Write the proportion equation
   43,758 : 89,362 = 89,362 : x
2. Step 2: Convert to fraction form
   43,758/89,362 = 89,362/x
3. Step 3: Cross multiply
   43,758x = 89,362 × 89,362
4. Step 4: Simplify right side
   43,758x = 7,985,567,044
5. Step 5: Solve for x
   x = 7,985,567,044/43,758
6. Step 6: Final answer
   x = 182,493.88