Finding the Third Proportional to 83,485.69 and 185,657.06

Step by Step Solution

1. Step 1: Write the proportion equation
   83,485.69 : 185,657.06 = 185,657.06 : x
2. Step 2: Convert to fraction form
   83,485.69/185,657.06 = 185,657.06/x
3. Step 3: Cross multiply
   83,485.69x = 185,657.06 × 185,657.06
4. Step 4: Simplify right side
   83,485.69x = 34,468,544,856.13
5. Step 5: Solve for x
   x = 34,468,544,856.13/83,485.69
6. Step 6: Final answer
   x = 412,867.71