Finding the Third Proportional to 384,091.50 and 553,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,091.50 : 553,258.50 = 553,258.50 : x
2. Step 2: Convert to fraction form
   384,091.50/553,258.50 = 553,258.50/x
3. Step 3: Cross multiply
   384,091.50x = 553,258.50 × 553,258.50
4. Step 4: Simplify right side
   384,091.50x = 306,094,967,822.25
5. Step 5: Solve for x
   x = 306,094,967,822.25/384,091.50
6. Step 6: Final answer
   x = 796,932.42