Finding the Third Proportional to 78,033 and 111,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,033 : 111,514.50 = 111,514.50 : x
2. Step 2: Convert to fraction form
   78,033/111,514.50 = 111,514.50/x
3. Step 3: Cross multiply
   78,033x = 111,514.50 × 111,514.50
4. Step 4: Simplify right side
   78,033x = 12,435,483,710.25
5. Step 5: Solve for x
   x = 12,435,483,710.25/78,033
6. Step 6: Final answer
   x = 159,361.86