Finding the Third Proportional to 164,215 and 354,066

Step by Step Solution

1. Step 1: Write the proportion equation
   164,215 : 354,066 = 354,066 : x
2. Step 2: Convert to fraction form
   164,215/354,066 = 354,066/x
3. Step 3: Cross multiply
   164,215x = 354,066 × 354,066
4. Step 4: Simplify right side
   164,215x = 125,362,732,356
5. Step 5: Solve for x
   x = 125,362,732,356/164,215
6. Step 6: Final answer
   x = 763,406.10