Finding the Third Proportional to 83,971.69 and 177,418.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,971.69 : 177,418.69 = 177,418.69 : x
2. Step 2: Convert to fraction form
   83,971.69/177,418.69 = 177,418.69/x
3. Step 3: Cross multiply
   83,971.69x = 177,418.69 × 177,418.69
4. Step 4: Simplify right side
   83,971.69x = 31,477,390,674.22
5. Step 5: Solve for x
   x = 31,477,390,674.22/83,971.69
6. Step 6: Final answer
   x = 374,857.19