Finding the Third Proportional to 102,555 and 150,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,555 : 150,187.50 = 150,187.50 : x
2. Step 2: Convert to fraction form
   102,555/150,187.50 = 150,187.50/x
3. Step 3: Cross multiply
   102,555x = 150,187.50 × 150,187.50
4. Step 4: Simplify right side
   102,555x = 22,556,285,156.25
5. Step 5: Solve for x
   x = 22,556,285,156.25/102,555
6. Step 6: Final answer
   x = 219,943.30