Finding the Third Proportional to 86,154 and 188,310

Step by Step Solution

1. Step 1: Write the proportion equation
   86,154 : 188,310 = 188,310 : x
2. Step 2: Convert to fraction form
   86,154/188,310 = 188,310/x
3. Step 3: Cross multiply
   86,154x = 188,310 × 188,310
4. Step 4: Simplify right side
   86,154x = 35,460,656,100
5. Step 5: Solve for x
   x = 35,460,656,100/86,154
6. Step 6: Final answer
   x = 411,596.17