Finding the Third Proportional to 78,770 and 172,852

Step by Step Solution

1. Step 1: Write the proportion equation
   78,770 : 172,852 = 172,852 : x
2. Step 2: Convert to fraction form
   78,770/172,852 = 172,852/x
3. Step 3: Cross multiply
   78,770x = 172,852 × 172,852
4. Step 4: Simplify right side
   78,770x = 29,877,813,904
5. Step 5: Solve for x
   x = 29,877,813,904/78,770
6. Step 6: Final answer
   x = 379,304.48