Finding the Third Proportional to 189,913 and 300,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,913 : 300,724.50 = 300,724.50 : x
2. Step 2: Convert to fraction form
   189,913/300,724.50 = 300,724.50/x
3. Step 3: Cross multiply
   189,913x = 300,724.50 × 300,724.50
4. Step 4: Simplify right side
   189,913x = 90,435,224,900.25
5. Step 5: Solve for x
   x = 90,435,224,900.25/189,913
6. Step 6: Final answer
   x = 476,192.91