Finding the Third Proportional to 110,680 and 152,196

Step by Step Solution

1. Step 1: Write the proportion equation
   110,680 : 152,196 = 152,196 : x
2. Step 2: Convert to fraction form
   110,680/152,196 = 152,196/x
3. Step 3: Cross multiply
   110,680x = 152,196 × 152,196
4. Step 4: Simplify right side
   110,680x = 23,163,622,416
5. Step 5: Solve for x
   x = 23,163,622,416/110,680
6. Step 6: Final answer
   x = 209,284.63