Finding the Third Proportional to 78,346 and 164,756

Step by Step Solution

1. Step 1: Write the proportion equation
   78,346 : 164,756 = 164,756 : x
2. Step 2: Convert to fraction form
   78,346/164,756 = 164,756/x
3. Step 3: Cross multiply
   78,346x = 164,756 × 164,756
4. Step 4: Simplify right side
   78,346x = 27,144,539,536
5. Step 5: Solve for x
   x = 27,144,539,536/78,346
6. Step 6: Final answer
   x = 346,470.01