Finding the Third Proportional to 78,340 and 117,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,340 : 117,164 = 117,164 : x
2. Step 2: Convert to fraction form
   78,340/117,164 = 117,164/x
3. Step 3: Cross multiply
   78,340x = 117,164 × 117,164
4. Step 4: Simplify right side
   78,340x = 13,727,402,896
5. Step 5: Solve for x
   x = 13,727,402,896/78,340
6. Step 6: Final answer
   x = 175,228.53