Finding the Third Proportional to 102,159 and 216,604.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,159 : 216,604.50 = 216,604.50 : x
2. Step 2: Convert to fraction form
   102,159/216,604.50 = 216,604.50/x
3. Step 3: Cross multiply
   102,159x = 216,604.50 × 216,604.50
4. Step 4: Simplify right side
   102,159x = 46,917,509,420.25
5. Step 5: Solve for x
   x = 46,917,509,420.25/102,159
6. Step 6: Final answer
   x = 459,259.68