Finding the Third Proportional to 83,308.50 and 182,836.13

Step by Step Solution

1. Step 1: Write the proportion equation
   83,308.50 : 182,836.13 = 182,836.13 : x
2. Step 2: Convert to fraction form
   83,308.50/182,836.13 = 182,836.13/x
3. Step 3: Cross multiply
   83,308.50x = 182,836.13 × 182,836.13
4. Step 4: Simplify right side
   83,308.50x = 33,429,048,605.02
5. Step 5: Solve for x
   x = 33,429,048,605.02/83,308.50
6. Step 6: Final answer
   x = 401,268.16