Finding the Third Proportional to 78,120 and 116,847

Step by Step Solution

1. Step 1: Write the proportion equation
   78,120 : 116,847 = 116,847 : x
2. Step 2: Convert to fraction form
   78,120/116,847 = 116,847/x
3. Step 3: Cross multiply
   78,120x = 116,847 × 116,847
4. Step 4: Simplify right side
   78,120x = 13,653,221,409
5. Step 5: Solve for x
   x = 13,653,221,409/78,120
6. Step 6: Final answer
   x = 174,772.42