Finding the Third Proportional to 77,280 and 164,766

Step by Step Solution

1. Step 1: Write the proportion equation
   77,280 : 164,766 = 164,766 : x
2. Step 2: Convert to fraction form
   77,280/164,766 = 164,766/x
3. Step 3: Cross multiply
   77,280x = 164,766 × 164,766
4. Step 4: Simplify right side
   77,280x = 27,147,834,756
5. Step 5: Solve for x
   x = 27,147,834,756/77,280
6. Step 6: Final answer
   x = 351,291.86