Finding the Third Proportional to 105,187.50 and 169,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,187.50 : 169,204.50 = 169,204.50 : x
2. Step 2: Convert to fraction form
   105,187.50/169,204.50 = 169,204.50/x
3. Step 3: Cross multiply
   105,187.50x = 169,204.50 × 169,204.50
4. Step 4: Simplify right side
   105,187.50x = 28,630,162,820.25
5. Step 5: Solve for x
   x = 28,630,162,820.25/105,187.50
6. Step 6: Final answer
   x = 272,182.18