Finding the Third Proportional to 359,460 and 563,838

Step by Step Solution

1. Step 1: Write the proportion equation
   359,460 : 563,838 = 563,838 : x
2. Step 2: Convert to fraction form
   359,460/563,838 = 563,838/x
3. Step 3: Cross multiply
   359,460x = 563,838 × 563,838
4. Step 4: Simplify right side
   359,460x = 317,913,290,244
5. Step 5: Solve for x
   x = 317,913,290,244/359,460
6. Step 6: Final answer
   x = 884,419.10