Finding the Third Proportional to 85,861 and 188,124

Step by Step Solution

1. Step 1: Write the proportion equation
   85,861 : 188,124 = 188,124 : x
2. Step 2: Convert to fraction form
   85,861/188,124 = 188,124/x
3. Step 3: Cross multiply
   85,861x = 188,124 × 188,124
4. Step 4: Simplify right side
   85,861x = 35,390,639,376
5. Step 5: Solve for x
   x = 35,390,639,376/85,861
6. Step 6: Final answer
   x = 412,185.27