Finding the Third Proportional to 83,221.50 and 183,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,221.50 : 183,016.50 = 183,016.50 : x
2. Step 2: Convert to fraction form
   83,221.50/183,016.50 = 183,016.50/x
3. Step 3: Cross multiply
   83,221.50x = 183,016.50 × 183,016.50
4. Step 4: Simplify right side
   83,221.50x = 33,495,039,272.25
5. Step 5: Solve for x
   x = 33,495,039,272.25/83,221.50
6. Step 6: Final answer
   x = 402,480.60