Finding the Third Proportional to 101,905.88 and 146,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   101,905.88 : 146,783.25 = 146,783.25 : x
2. Step 2: Convert to fraction form
   101,905.88/146,783.25 = 146,783.25/x
3. Step 3: Cross multiply
   101,905.88x = 146,783.25 × 146,783.25
4. Step 4: Simplify right side
   101,905.88x = 21,545,322,480.56
5. Step 5: Solve for x
   x = 21,545,322,480.56/101,905.88
6. Step 6: Final answer
   x = 211,423.75