Finding the Third Proportional to 100,893.50 and 221,468

Step by Step Solution

1. Step 1: Write the proportion equation
   100,893.50 : 221,468 = 221,468 : x
2. Step 2: Convert to fraction form
   100,893.50/221,468 = 221,468/x
3. Step 3: Cross multiply
   100,893.50x = 221,468 × 221,468
4. Step 4: Simplify right side
   100,893.50x = 49,048,075,024
5. Step 5: Solve for x
   x = 49,048,075,024/100,893.50
6. Step 6: Final answer
   x = 486,137.12