Finding the Third Proportional to 78,256.13 and 114,103.69

Step by Step Solution

1. Step 1: Write the proportion equation
   78,256.13 : 114,103.69 = 114,103.69 : x
2. Step 2: Convert to fraction form
   78,256.13/114,103.69 = 114,103.69/x
3. Step 3: Cross multiply
   78,256.13x = 114,103.69 × 114,103.69
4. Step 4: Simplify right side
   78,256.13x = 13,019,651,501.10
5. Step 5: Solve for x
   x = 13,019,651,501.10/78,256.13
6. Step 6: Final answer
   x = 166,372.30