Finding the Third Proportional to 78,846 and 172,260

Step by Step Solution

1. Step 1: Write the proportion equation
   78,846 : 172,260 = 172,260 : x
2. Step 2: Convert to fraction form
   78,846/172,260 = 172,260/x
3. Step 3: Cross multiply
   78,846x = 172,260 × 172,260
4. Step 4: Simplify right side
   78,846x = 29,673,507,600
5. Step 5: Solve for x
   x = 29,673,507,600/78,846
6. Step 6: Final answer
   x = 376,347.66