Finding the Third Proportional to 101,906 and 146,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,906 : 146,783.50 = 146,783.50 : x
2. Step 2: Convert to fraction form
   101,906/146,783.50 = 146,783.50/x
3. Step 3: Cross multiply
   101,906x = 146,783.50 × 146,783.50
4. Step 4: Simplify right side
   101,906x = 21,545,395,872.25
5. Step 5: Solve for x
   x = 21,545,395,872.25/101,906
6. Step 6: Final answer
   x = 211,424.21