Finding the Third Proportional to 102,235.50 and 219,051

Step by Step Solution

1. Step 1: Write the proportion equation
   102,235.50 : 219,051 = 219,051 : x
2. Step 2: Convert to fraction form
   102,235.50/219,051 = 219,051/x
3. Step 3: Cross multiply
   102,235.50x = 219,051 × 219,051
4. Step 4: Simplify right side
   102,235.50x = 47,983,340,601
5. Step 5: Solve for x
   x = 47,983,340,601/102,235.50
6. Step 6: Final answer
   x = 469,341.28