Finding the Third Proportional to 84,567 and 182,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,567 : 182,215.50 = 182,215.50 : x
2. Step 2: Convert to fraction form
   84,567/182,215.50 = 182,215.50/x
3. Step 3: Cross multiply
   84,567x = 182,215.50 × 182,215.50
4. Step 4: Simplify right side
   84,567x = 33,202,488,440.25
5. Step 5: Solve for x
   x = 33,202,488,440.25/84,567
6. Step 6: Final answer
   x = 392,617.55