Finding the Third Proportional to 78,756 and 171,336

Step by Step Solution

1. Step 1: Write the proportion equation
   78,756 : 171,336 = 171,336 : x
2. Step 2: Convert to fraction form
   78,756/171,336 = 171,336/x
3. Step 3: Cross multiply
   78,756x = 171,336 × 171,336
4. Step 4: Simplify right side
   78,756x = 29,356,024,896
5. Step 5: Solve for x
   x = 29,356,024,896/78,756
6. Step 6: Final answer
   x = 372,746.52