Finding the Third Proportional to 83,112.75 and 183,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,112.75 : 183,721.50 = 183,721.50 : x
2. Step 2: Convert to fraction form
   83,112.75/183,721.50 = 183,721.50/x
3. Step 3: Cross multiply
   83,112.75x = 183,721.50 × 183,721.50
4. Step 4: Simplify right side
   83,112.75x = 33,753,589,562.25
5. Step 5: Solve for x
   x = 33,753,589,562.25/83,112.75
6. Step 6: Final answer
   x = 406,118.07