Finding the Third Proportional to 86,606 and 190,222

Step by Step Solution

1. Step 1: Write the proportion equation
   86,606 : 190,222 = 190,222 : x
2. Step 2: Convert to fraction form
   86,606/190,222 = 190,222/x
3. Step 3: Cross multiply
   86,606x = 190,222 × 190,222
4. Step 4: Simplify right side
   86,606x = 36,184,409,284
5. Step 5: Solve for x
   x = 36,184,409,284/86,606
6. Step 6: Final answer
   x = 417,804.88