Finding the Third Proportional to 106,852.50 and 169,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,852.50 : 169,196.25 = 169,196.25 : x
2. Step 2: Convert to fraction form
   106,852.50/169,196.25 = 169,196.25/x
3. Step 3: Cross multiply
   106,852.50x = 169,196.25 × 169,196.25
4. Step 4: Simplify right side
   106,852.50x = 28,627,371,014.06
5. Step 5: Solve for x
   x = 28,627,371,014.06/106,852.50
6. Step 6: Final answer
   x = 267,914.85