Finding the Third Proportional to 384,096 and 553,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,096 : 553,303.50 = 553,303.50 : x
2. Step 2: Convert to fraction form
   384,096/553,303.50 = 553,303.50/x
3. Step 3: Cross multiply
   384,096x = 553,303.50 × 553,303.50
4. Step 4: Simplify right side
   384,096x = 306,144,763,112.25
5. Step 5: Solve for x
   x = 306,144,763,112.25/384,096
6. Step 6: Final answer
   x = 797,052.72