Finding the Third Proportional to 83,139.25 and 182,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139.25 : 182,893.50 = 182,893.50 : x
2. Step 2: Convert to fraction form
   83,139.25/182,893.50 = 182,893.50/x
3. Step 3: Cross multiply
   83,139.25x = 182,893.50 × 182,893.50
4. Step 4: Simplify right side
   83,139.25x = 33,450,032,342.25
5. Step 5: Solve for x
   x = 33,450,032,342.25/83,139.25
6. Step 6: Final answer
   x = 402,337.43