Finding the Third Proportional to 78,456 and 116,160

Step by Step Solution

1. Step 1: Write the proportion equation
   78,456 : 116,160 = 116,160 : x
2. Step 2: Convert to fraction form
   78,456/116,160 = 116,160/x
3. Step 3: Cross multiply
   78,456x = 116,160 × 116,160
4. Step 4: Simplify right side
   78,456x = 13,493,145,600
5. Step 5: Solve for x
   x = 13,493,145,600/78,456
6. Step 6: Final answer
   x = 171,983.60