Finding the Third Proportional to 189,289.50 and 384,141

Step by Step Solution

1. Step 1: Write the proportion equation
   189,289.50 : 384,141 = 384,141 : x
2. Step 2: Convert to fraction form
   189,289.50/384,141 = 384,141/x
3. Step 3: Cross multiply
   189,289.50x = 384,141 × 384,141
4. Step 4: Simplify right side
   189,289.50x = 147,564,307,881
5. Step 5: Solve for x
   x = 147,564,307,881/189,289.50
6. Step 6: Final answer
   x = 779,569.43