Finding the Third Proportional to 86,835 and 189,222

Step by Step Solution

1. Step 1: Write the proportion equation
   86,835 : 189,222 = 189,222 : x
2. Step 2: Convert to fraction form
   86,835/189,222 = 189,222/x
3. Step 3: Cross multiply
   86,835x = 189,222 × 189,222
4. Step 4: Simplify right side
   86,835x = 35,804,965,284
5. Step 5: Solve for x
   x = 35,804,965,284/86,835
6. Step 6: Final answer
   x = 412,333.34