Finding the Third Proportional to 101,174 and 145,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,174 : 145,735.50 = 145,735.50 : x
2. Step 2: Convert to fraction form
   101,174/145,735.50 = 145,735.50/x
3. Step 3: Cross multiply
   101,174x = 145,735.50 × 145,735.50
4. Step 4: Simplify right side
   101,174x = 21,238,835,960.25
5. Step 5: Solve for x
   x = 21,238,835,960.25/101,174
6. Step 6: Final answer
   x = 209,923.85