Finding the Third Proportional to 46,629 and 101,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,629 : 101,533.50 = 101,533.50 : x
2. Step 2: Convert to fraction form
   46,629/101,533.50 = 101,533.50/x
3. Step 3: Cross multiply
   46,629x = 101,533.50 × 101,533.50
4. Step 4: Simplify right side
   46,629x = 10,309,051,622.25
5. Step 5: Solve for x
   x = 10,309,051,622.25/46,629
6. Step 6: Final answer
   x = 221,086.70