Finding the Third Proportional to 81,466.50 and 174,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,466.50 : 174,322.50 = 174,322.50 : x
2. Step 2: Convert to fraction form
   81,466.50/174,322.50 = 174,322.50/x
3. Step 3: Cross multiply
   81,466.50x = 174,322.50 × 174,322.50
4. Step 4: Simplify right side
   81,466.50x = 30,388,334,006.25
5. Step 5: Solve for x
   x = 30,388,334,006.25/81,466.50
6. Step 6: Final answer
   x = 373,016.32