Finding the Third Proportional to 86,789 and 190,222

Step by Step Solution

1. Step 1: Write the proportion equation
   86,789 : 190,222 = 190,222 : x
2. Step 2: Convert to fraction form
   86,789/190,222 = 190,222/x
3. Step 3: Cross multiply
   86,789x = 190,222 × 190,222
4. Step 4: Simplify right side
   86,789x = 36,184,409,284
5. Step 5: Solve for x
   x = 36,184,409,284/86,789
6. Step 6: Final answer
   x = 416,923.91