Finding the Third Proportional to 78,758 and 171,340

Step by Step Solution

1. Step 1: Write the proportion equation
   78,758 : 171,340 = 171,340 : x
2. Step 2: Convert to fraction form
   78,758/171,340 = 171,340/x
3. Step 3: Cross multiply
   78,758x = 171,340 × 171,340
4. Step 4: Simplify right side
   78,758x = 29,357,395,600
5. Step 5: Solve for x
   x = 29,357,395,600/78,758
6. Step 6: Final answer
   x = 372,754.46