Finding the Third Proportional to 109,047 and 146,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,047 : 146,533.50 = 146,533.50 : x
2. Step 2: Convert to fraction form
   109,047/146,533.50 = 146,533.50/x
3. Step 3: Cross multiply
   109,047x = 146,533.50 × 146,533.50
4. Step 4: Simplify right side
   109,047x = 21,472,066,622.25
5. Step 5: Solve for x
   x = 21,472,066,622.25/109,047
6. Step 6: Final answer
   x = 196,906.53