Finding the Third Proportional to 83,774.25 and 182,320.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,774.25 : 182,320.88 = 182,320.88 : x
2. Step 2: Convert to fraction form
   83,774.25/182,320.88 = 182,320.88/x
3. Step 3: Cross multiply
   83,774.25x = 182,320.88 × 182,320.88
4. Step 4: Simplify right side
   83,774.25x = 33,240,901,460.77
5. Step 5: Solve for x
   x = 33,240,901,460.77/83,774.25
6. Step 6: Final answer
   x = 396,791.39