Finding the Third Proportional to 78,040 and 116,846

Step by Step Solution

1. Step 1: Write the proportion equation
   78,040 : 116,846 = 116,846 : x
2. Step 2: Convert to fraction form
   78,040/116,846 = 116,846/x
3. Step 3: Cross multiply
   78,040x = 116,846 × 116,846
4. Step 4: Simplify right side
   78,040x = 13,652,987,716
5. Step 5: Solve for x
   x = 13,652,987,716/78,040
6. Step 6: Final answer
   x = 174,948.59