Finding the Third Proportional to 102,078 and 150,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,078 : 150,199.50 = 150,199.50 : x
2. Step 2: Convert to fraction form
   102,078/150,199.50 = 150,199.50/x
3. Step 3: Cross multiply
   102,078x = 150,199.50 × 150,199.50
4. Step 4: Simplify right side
   102,078x = 22,559,889,800.25
5. Step 5: Solve for x
   x = 22,559,889,800.25/102,078
6. Step 6: Final answer
   x = 221,006.39