Finding the Third Proportional to 84,214.69 and 123,857.86

Step by Step Solution

1. Step 1: Write the proportion equation
   84,214.69 : 123,857.86 = 123,857.86 : x
2. Step 2: Convert to fraction form
   84,214.69/123,857.86 = 123,857.86/x
3. Step 3: Cross multiply
   84,214.69x = 123,857.86 × 123,857.86
4. Step 4: Simplify right side
   84,214.69x = 15,340,769,328.96
5. Step 5: Solve for x
   x = 15,340,769,328.96/84,214.69
6. Step 6: Final answer
   x = 182,162.63