Finding the Third Proportional to 83,452.50 and 185,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,452.50 : 185,564.25 = 185,564.25 : x
2. Step 2: Convert to fraction form
   83,452.50/185,564.25 = 185,564.25/x
3. Step 3: Cross multiply
   83,452.50x = 185,564.25 × 185,564.25
4. Step 4: Simplify right side
   83,452.50x = 34,434,090,878.06
5. Step 5: Solve for x
   x = 34,434,090,878.06/83,452.50
6. Step 6: Final answer
   x = 412,619.05