Finding the Third Proportional to 78,819 and 119,046

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 119,046 = 119,046 : x
2. Step 2: Convert to fraction form
   78,819/119,046 = 119,046/x
3. Step 3: Cross multiply
   78,819x = 119,046 × 119,046
4. Step 4: Simplify right side
   78,819x = 14,171,950,116
5. Step 5: Solve for x
   x = 14,171,950,116/78,819
6. Step 6: Final answer
   x = 179,803.73