Finding the Third Proportional to 189,037.50 and 412,743

Step by Step Solution

1. Step 1: Write the proportion equation
   189,037.50 : 412,743 = 412,743 : x
2. Step 2: Convert to fraction form
   189,037.50/412,743 = 412,743/x
3. Step 3: Cross multiply
   189,037.50x = 412,743 × 412,743
4. Step 4: Simplify right side
   189,037.50x = 170,356,784,049
5. Step 5: Solve for x
   x = 170,356,784,049/189,037.50
6. Step 6: Final answer
   x = 901,179.84