Finding the Third Proportional to 78,404 and 164,552

Step by Step Solution

1. Step 1: Write the proportion equation
   78,404 : 164,552 = 164,552 : x
2. Step 2: Convert to fraction form
   78,404/164,552 = 164,552/x
3. Step 3: Cross multiply
   78,404x = 164,552 × 164,552
4. Step 4: Simplify right side
   78,404x = 27,077,360,704
5. Step 5: Solve for x
   x = 27,077,360,704/78,404
6. Step 6: Final answer
   x = 345,356.88