Finding the Third Proportional to 78,810 and 172,932

Step by Step Solution

1. Step 1: Write the proportion equation
   78,810 : 172,932 = 172,932 : x
2. Step 2: Convert to fraction form
   78,810/172,932 = 172,932/x
3. Step 3: Cross multiply
   78,810x = 172,932 × 172,932
4. Step 4: Simplify right side
   78,810x = 29,905,476,624
5. Step 5: Solve for x
   x = 29,905,476,624/78,810
6. Step 6: Final answer
   x = 379,462.97