Finding the Third Proportional to 76,503 and 164,066

Step by Step Solution

1. Step 1: Write the proportion equation
   76,503 : 164,066 = 164,066 : x
2. Step 2: Convert to fraction form
   76,503/164,066 = 164,066/x
3. Step 3: Cross multiply
   76,503x = 164,066 × 164,066
4. Step 4: Simplify right side
   76,503x = 26,917,652,356
5. Step 5: Solve for x
   x = 26,917,652,356/76,503
6. Step 6: Final answer
   x = 351,850.94