Finding the Third Proportional to 102,221.50 and 238,771

Step by Step Solution

1. Step 1: Write the proportion equation
   102,221.50 : 238,771 = 238,771 : x
2. Step 2: Convert to fraction form
   102,221.50/238,771 = 238,771/x
3. Step 3: Cross multiply
   102,221.50x = 238,771 × 238,771
4. Step 4: Simplify right side
   102,221.50x = 57,011,590,441
5. Step 5: Solve for x
   x = 57,011,590,441/102,221.50
6. Step 6: Final answer
   x = 557,726.02