Finding the Third Proportional to 83,473.50 and 185,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,473.50 : 185,608.50 = 185,608.50 : x
2. Step 2: Convert to fraction form
   83,473.50/185,608.50 = 185,608.50/x
3. Step 3: Cross multiply
   83,473.50x = 185,608.50 × 185,608.50
4. Step 4: Simplify right side
   83,473.50x = 34,450,515,272.25
5. Step 5: Solve for x
   x = 34,450,515,272.25/83,473.50
6. Step 6: Final answer
   x = 412,712.00