Finding the Third Proportional to 45,406 and 89,651

Step by Step Solution

1. Step 1: Write the proportion equation
   45,406 : 89,651 = 89,651 : x
2. Step 2: Convert to fraction form
   45,406/89,651 = 89,651/x
3. Step 3: Cross multiply
   45,406x = 89,651 × 89,651
4. Step 4: Simplify right side
   45,406x = 8,037,301,801
5. Step 5: Solve for x
   x = 8,037,301,801/45,406
6. Step 6: Final answer
   x = 177,009.69