Finding the Third Proportional to 78,052 and 164,366

Step by Step Solution

1. Step 1: Write the proportion equation
   78,052 : 164,366 = 164,366 : x
2. Step 2: Convert to fraction form
   78,052/164,366 = 164,366/x
3. Step 3: Cross multiply
   78,052x = 164,366 × 164,366
4. Step 4: Simplify right side
   78,052x = 27,016,181,956
5. Step 5: Solve for x
   x = 27,016,181,956/78,052
6. Step 6: Final answer
   x = 346,130.55