Finding the Third Proportional to 77,284 and 164,773

Step by Step Solution

1. Step 1: Write the proportion equation
   77,284 : 164,773 = 164,773 : x
2. Step 2: Convert to fraction form
   77,284/164,773 = 164,773/x
3. Step 3: Cross multiply
   77,284x = 164,773 × 164,773
4. Step 4: Simplify right side
   77,284x = 27,150,141,529
5. Step 5: Solve for x
   x = 27,150,141,529/77,284
6. Step 6: Final answer
   x = 351,303.52