Finding the Third Proportional to 99,802 and 132,854

Step by Step Solution

1. Step 1: Write the proportion equation
   99,802 : 132,854 = 132,854 : x
2. Step 2: Convert to fraction form
   99,802/132,854 = 132,854/x
3. Step 3: Cross multiply
   99,802x = 132,854 × 132,854
4. Step 4: Simplify right side
   99,802x = 17,650,185,316
5. Step 5: Solve for x
   x = 17,650,185,316/99,802
6. Step 6: Final answer
   x = 176,852.02