Finding the Third Proportional to 109,197 and 146,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,197 : 146,736.50 = 146,736.50 : x
2. Step 2: Convert to fraction form
   109,197/146,736.50 = 146,736.50/x
3. Step 3: Cross multiply
   109,197x = 146,736.50 × 146,736.50
4. Step 4: Simplify right side
   109,197x = 21,531,600,432.25
5. Step 5: Solve for x
   x = 21,531,600,432.25/109,197
6. Step 6: Final answer
   x = 197,181.25