Finding the Third Proportional to 189,333 and 284,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,333 : 284,485.50 = 284,485.50 : x
2. Step 2: Convert to fraction form
   189,333/284,485.50 = 284,485.50/x
3. Step 3: Cross multiply
   189,333x = 284,485.50 × 284,485.50
4. Step 4: Simplify right side
   189,333x = 80,931,999,710.25
5. Step 5: Solve for x
   x = 80,931,999,710.25/189,333
6. Step 6: Final answer
   x = 427,458.50