Finding the Third Proportional to 189,404.50 and 420,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,404.50 : 420,846.50 = 420,846.50 : x
2. Step 2: Convert to fraction form
   189,404.50/420,846.50 = 420,846.50/x
3. Step 3: Cross multiply
   189,404.50x = 420,846.50 × 420,846.50
4. Step 4: Simplify right side
   189,404.50x = 177,111,776,562.25
5. Step 5: Solve for x
   x = 177,111,776,562.25/189,404.50
6. Step 6: Final answer
   x = 935,098.04