Finding the Third Proportional to 189,415.50 and 294,084

Step by Step Solution

1. Step 1: Write the proportion equation
   189,415.50 : 294,084 = 294,084 : x
2. Step 2: Convert to fraction form
   189,415.50/294,084 = 294,084/x
3. Step 3: Cross multiply
   189,415.50x = 294,084 × 294,084
4. Step 4: Simplify right side
   189,415.50x = 86,485,399,056
5. Step 5: Solve for x
   x = 86,485,399,056/189,415.50
6. Step 6: Final answer
   x = 456,590.93