Finding the Third Proportional to 78,783 and 114,789

Step by Step Solution

1. Step 1: Write the proportion equation
   78,783 : 114,789 = 114,789 : x
2. Step 2: Convert to fraction form
   78,783/114,789 = 114,789/x
3. Step 3: Cross multiply
   78,783x = 114,789 × 114,789
4. Step 4: Simplify right side
   78,783x = 13,176,514,521
5. Step 5: Solve for x
   x = 13,176,514,521/78,783
6. Step 6: Final answer
   x = 167,250.73