Finding the Third Proportional to 85,564.50 and 182,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,564.50 : 182,212.50 = 182,212.50 : x
2. Step 2: Convert to fraction form
   85,564.50/182,212.50 = 182,212.50/x
3. Step 3: Cross multiply
   85,564.50x = 182,212.50 × 182,212.50
4. Step 4: Simplify right side
   85,564.50x = 33,201,395,156.25
5. Step 5: Solve for x
   x = 33,201,395,156.25/85,564.50
6. Step 6: Final answer
   x = 388,027.69