Finding the Third Proportional to 78,053 and 120,789

Step by Step Solution

1. Step 1: Write the proportion equation
   78,053 : 120,789 = 120,789 : x
2. Step 2: Convert to fraction form
   78,053/120,789 = 120,789/x
3. Step 3: Cross multiply
   78,053x = 120,789 × 120,789
4. Step 4: Simplify right side
   78,053x = 14,589,982,521
5. Step 5: Solve for x
   x = 14,589,982,521/78,053
6. Step 6: Final answer
   x = 186,924.05