Finding the Third Proportional to 102,071 and 153,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,071 : 153,208.50 = 153,208.50 : x
2. Step 2: Convert to fraction form
   102,071/153,208.50 = 153,208.50/x
3. Step 3: Cross multiply
   102,071x = 153,208.50 × 153,208.50
4. Step 4: Simplify right side
   102,071x = 23,472,844,472.25
5. Step 5: Solve for x
   x = 23,472,844,472.25/102,071
6. Step 6: Final answer
   x = 229,965.85