Finding the Third Proportional to 109,196 and 169,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,196 : 169,625.50 = 169,625.50 : x
2. Step 2: Convert to fraction form
   109,196/169,625.50 = 169,625.50/x
3. Step 3: Cross multiply
   109,196x = 169,625.50 × 169,625.50
4. Step 4: Simplify right side
   109,196x = 28,772,810,250.25
5. Step 5: Solve for x
   x = 28,772,810,250.25/109,196
6. Step 6: Final answer
   x = 263,496.93