Finding the Third Proportional to 83,235 and 183,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,235 : 183,435.50 = 183,435.50 : x
2. Step 2: Convert to fraction form
   83,235/183,435.50 = 183,435.50/x
3. Step 3: Cross multiply
   83,235x = 183,435.50 × 183,435.50
4. Step 4: Simplify right side
   83,235x = 33,648,582,660.25
5. Step 5: Solve for x
   x = 33,648,582,660.25/83,235
6. Step 6: Final answer
   x = 404,260.02