Finding the Third Proportional to 83,359.50 and 182,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,359.50 : 182,026.50 = 182,026.50 : x
2. Step 2: Convert to fraction form
   83,359.50/182,026.50 = 182,026.50/x
3. Step 3: Cross multiply
   83,359.50x = 182,026.50 × 182,026.50
4. Step 4: Simplify right side
   83,359.50x = 33,133,646,702.25
5. Step 5: Solve for x
   x = 33,133,646,702.25/83,359.50
6. Step 6: Final answer
   x = 397,478.95