Finding the Third Proportional to 76,322 and 164,308

Step by Step Solution

1. Step 1: Write the proportion equation
   76,322 : 164,308 = 164,308 : x
2. Step 2: Convert to fraction form
   76,322/164,308 = 164,308/x
3. Step 3: Cross multiply
   76,322x = 164,308 × 164,308
4. Step 4: Simplify right side
   76,322x = 26,997,118,864
5. Step 5: Solve for x
   x = 26,997,118,864/76,322
6. Step 6: Final answer
   x = 353,726.56