Finding the Third Proportional to 100,662.50 and 219,038

Step by Step Solution

1. Step 1: Write the proportion equation
   100,662.50 : 219,038 = 219,038 : x
2. Step 2: Convert to fraction form
   100,662.50/219,038 = 219,038/x
3. Step 3: Cross multiply
   100,662.50x = 219,038 × 219,038
4. Step 4: Simplify right side
   100,662.50x = 47,977,645,444
5. Step 5: Solve for x
   x = 47,977,645,444/100,662.50
6. Step 6: Final answer
   x = 476,618.85