Finding the Third Proportional to 78,362 and 164,788

Step by Step Solution

1. Step 1: Write the proportion equation
   78,362 : 164,788 = 164,788 : x
2. Step 2: Convert to fraction form
   78,362/164,788 = 164,788/x
3. Step 3: Cross multiply
   78,362x = 164,788 × 164,788
4. Step 4: Simplify right side
   78,362x = 27,155,084,944
5. Step 5: Solve for x
   x = 27,155,084,944/78,362
6. Step 6: Final answer
   x = 346,533.84