Finding the Third Proportional to 86,174 and 188,388

Step by Step Solution

1. Step 1: Write the proportion equation
   86,174 : 188,388 = 188,388 : x
2. Step 2: Convert to fraction form
   86,174/188,388 = 188,388/x
3. Step 3: Cross multiply
   86,174x = 188,388 × 188,388
4. Step 4: Simplify right side
   86,174x = 35,490,038,544
5. Step 5: Solve for x
   x = 35,490,038,544/86,174
6. Step 6: Final answer
   x = 411,841.61