Finding the Third Proportional to 87,410 and 188,644

Step by Step Solution

1. Step 1: Write the proportion equation
   87,410 : 188,644 = 188,644 : x
2. Step 2: Convert to fraction form
   87,410/188,644 = 188,644/x
3. Step 3: Cross multiply
   87,410x = 188,644 × 188,644
4. Step 4: Simplify right side
   87,410x = 35,586,558,736
5. Step 5: Solve for x
   x = 35,586,558,736/87,410
6. Step 6: Final answer
   x = 407,122.28