Finding the Third Proportional to 1,013,142.50 and 2,194,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,142.50 : 2,194,410.25 = 2,194,410.25 : x
2. Step 2: Convert to fraction form
   1,013,142.50/2,194,410.25 = 2,194,410.25/x
3. Step 3: Cross multiply
   1,013,142.50x = 2,194,410.25 × 2,194,410.25
4. Step 4: Simplify right side
   1,013,142.50x = 4,815,436,345,305.06
5. Step 5: Solve for x
   x = 4,815,436,345,305.06/1,013,142.50
6. Step 6: Final answer
   x = 4,752,970.43