Finding the Third Proportional to 102,613.50 and 221,454

Step by Step Solution

1. Step 1: Write the proportion equation
   102,613.50 : 221,454 = 221,454 : x
2. Step 2: Convert to fraction form
   102,613.50/221,454 = 221,454/x
3. Step 3: Cross multiply
   102,613.50x = 221,454 × 221,454
4. Step 4: Simplify right side
   102,613.50x = 49,041,874,116
5. Step 5: Solve for x
   x = 49,041,874,116/102,613.50
6. Step 6: Final answer
   x = 477,928.09