Finding the Third Proportional to 86,106 and 187,458

Step by Step Solution

1. Step 1: Write the proportion equation
   86,106 : 187,458 = 187,458 : x
2. Step 2: Convert to fraction form
   86,106/187,458 = 187,458/x
3. Step 3: Cross multiply
   86,106x = 187,458 × 187,458
4. Step 4: Simplify right side
   86,106x = 35,140,501,764
5. Step 5: Solve for x
   x = 35,140,501,764/86,106
6. Step 6: Final answer
   x = 408,107.47