Finding the Third Proportional to 78,830 and 119,064

Step by Step Solution

1. Step 1: Write the proportion equation
   78,830 : 119,064 = 119,064 : x
2. Step 2: Convert to fraction form
   78,830/119,064 = 119,064/x
3. Step 3: Cross multiply
   78,830x = 119,064 × 119,064
4. Step 4: Simplify right side
   78,830x = 14,176,236,096
5. Step 5: Solve for x
   x = 14,176,236,096/78,830
6. Step 6: Final answer
   x = 179,833.01