Finding the Third Proportional to 78,852 and 172,272

Step by Step Solution

1. Step 1: Write the proportion equation
   78,852 : 172,272 = 172,272 : x
2. Step 2: Convert to fraction form
   78,852/172,272 = 172,272/x
3. Step 3: Cross multiply
   78,852x = 172,272 × 172,272
4. Step 4: Simplify right side
   78,852x = 29,677,641,984
5. Step 5: Solve for x
   x = 29,677,641,984/78,852
6. Step 6: Final answer
   x = 376,371.46