Finding the Third Proportional to 77,468 and 164,238

Step by Step Solution

1. Step 1: Write the proportion equation
   77,468 : 164,238 = 164,238 : x
2. Step 2: Convert to fraction form
   77,468/164,238 = 164,238/x
3. Step 3: Cross multiply
   77,468x = 164,238 × 164,238
4. Step 4: Simplify right side
   77,468x = 26,974,120,644
5. Step 5: Solve for x
   x = 26,974,120,644/77,468
6. Step 6: Final answer
   x = 348,196.94