Finding the Third Proportional to 83,755.69 and 185,005.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,755.69 : 185,005.69 = 185,005.69 : x
2. Step 2: Convert to fraction form
   83,755.69/185,005.69 = 185,005.69/x
3. Step 3: Cross multiply
   83,755.69x = 185,005.69 × 185,005.69
4. Step 4: Simplify right side
   83,755.69x = 34,227,104,407.35
5. Step 5: Solve for x
   x = 34,227,104,407.35/83,755.69
6. Step 6: Final answer
   x = 408,654.09