Finding the Third Proportional to 73,164 and 109,314

Step by Step Solution

1. Step 1: Write the proportion equation
   73,164 : 109,314 = 109,314 : x
2. Step 2: Convert to fraction form
   73,164/109,314 = 109,314/x
3. Step 3: Cross multiply
   73,164x = 109,314 × 109,314
4. Step 4: Simplify right side
   73,164x = 11,949,550,596
5. Step 5: Solve for x
   x = 11,949,550,596/73,164
6. Step 6: Final answer
   x = 163,325.55