Finding the Third Proportional to 78,003 and 111,549.66

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 111,549.66 = 111,549.66 : x
2. Step 2: Convert to fraction form
   78,003/111,549.66 = 111,549.66/x
3. Step 3: Cross multiply
   78,003x = 111,549.66 × 111,549.66
4. Step 4: Simplify right side
   78,003x = 12,443,325,809.49
5. Step 5: Solve for x
   x = 12,443,325,809.49/78,003
6. Step 6: Final answer
   x = 159,523.68