Finding the Third Proportional to 83,054.06 and 182,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,054.06 : 182,196.75 = 182,196.75 : x
2. Step 2: Convert to fraction form
   83,054.06/182,196.75 = 182,196.75/x
3. Step 3: Cross multiply
   83,054.06x = 182,196.75 × 182,196.75
4. Step 4: Simplify right side
   83,054.06x = 33,195,655,710.56
5. Step 5: Solve for x
   x = 33,195,655,710.56/83,054.06
6. Step 6: Final answer
   x = 399,687.32