Finding the Third Proportional to 109,116 and 168,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,116 : 168,493.50 = 168,493.50 : x
2. Step 2: Convert to fraction form
   109,116/168,493.50 = 168,493.50/x
3. Step 3: Cross multiply
   109,116x = 168,493.50 × 168,493.50
4. Step 4: Simplify right side
   109,116x = 28,390,059,542.25
5. Step 5: Solve for x
   x = 28,390,059,542.25/109,116
6. Step 6: Final answer
   x = 260,182.37