Finding the Third Proportional to 164,166 and 353,662

Step by Step Solution

1. Step 1: Write the proportion equation
   164,166 : 353,662 = 353,662 : x
2. Step 2: Convert to fraction form
   164,166/353,662 = 353,662/x
3. Step 3: Cross multiply
   164,166x = 353,662 × 353,662
4. Step 4: Simplify right side
   164,166x = 125,076,810,244
5. Step 5: Solve for x
   x = 125,076,810,244/164,166
6. Step 6: Final answer
   x = 761,892.29