Finding the Third Proportional to 86,224.50 and 188,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,224.50 : 188,419.50 = 188,419.50 : x
2. Step 2: Convert to fraction form
   86,224.50/188,419.50 = 188,419.50/x
3. Step 3: Cross multiply
   86,224.50x = 188,419.50 × 188,419.50
4. Step 4: Simplify right side
   86,224.50x = 35,501,907,980.25
5. Step 5: Solve for x
   x = 35,501,907,980.25/86,224.50
6. Step 6: Final answer
   x = 411,738.06