Finding the Third Proportional to 76,473 and 164,662

Step by Step Solution

1. Step 1: Write the proportion equation
   76,473 : 164,662 = 164,662 : x
2. Step 2: Convert to fraction form
   76,473/164,662 = 164,662/x
3. Step 3: Cross multiply
   76,473x = 164,662 × 164,662
4. Step 4: Simplify right side
   76,473x = 27,113,574,244
5. Step 5: Solve for x
   x = 27,113,574,244/76,473
6. Step 6: Final answer
   x = 354,550.94