Finding the Third Proportional to 78,357 and 169,182

Step by Step Solution

1. Step 1: Write the proportion equation
   78,357 : 169,182 = 169,182 : x
2. Step 2: Convert to fraction form
   78,357/169,182 = 169,182/x
3. Step 3: Cross multiply
   78,357x = 169,182 × 169,182
4. Step 4: Simplify right side
   78,357x = 28,622,549,124
5. Step 5: Solve for x
   x = 28,622,549,124/78,357
6. Step 6: Final answer
   x = 365,283.88