Finding the Third Proportional to 106,512 and 164,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,512 : 164,920.50 = 164,920.50 : x
2. Step 2: Convert to fraction form
   106,512/164,920.50 = 164,920.50/x
3. Step 3: Cross multiply
   106,512x = 164,920.50 × 164,920.50
4. Step 4: Simplify right side
   106,512x = 27,198,771,320.25
5. Step 5: Solve for x
   x = 27,198,771,320.25/106,512
6. Step 6: Final answer
   x = 255,358.75