Finding the Third Proportional to 86,172.75 and 188,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,172.75 : 188,383.50 = 188,383.50 : x
2. Step 2: Convert to fraction form
   86,172.75/188,383.50 = 188,383.50/x
3. Step 3: Cross multiply
   86,172.75x = 188,383.50 × 188,383.50
4. Step 4: Simplify right side
   86,172.75x = 35,488,343,072.25
5. Step 5: Solve for x
   x = 35,488,343,072.25/86,172.75
6. Step 6: Final answer
   x = 411,827.90