Finding the Third Proportional to 75,421.69 and 111,827.81

Step by Step Solution

1. Step 1: Write the proportion equation
   75,421.69 : 111,827.81 = 111,827.81 : x
2. Step 2: Convert to fraction form
   75,421.69/111,827.81 = 111,827.81/x
3. Step 3: Cross multiply
   75,421.69x = 111,827.81 × 111,827.81
4. Step 4: Simplify right side
   75,421.69x = 12,505,459,648.54
5. Step 5: Solve for x
   x = 12,505,459,648.54/75,421.69
6. Step 6: Final answer
   x = 165,807.21