Finding the Third Proportional to 359,184 and 563,454

Step by Step Solution

1. Step 1: Write the proportion equation
   359,184 : 563,454 = 563,454 : x
2. Step 2: Convert to fraction form
   359,184/563,454 = 563,454/x
3. Step 3: Cross multiply
   359,184x = 563,454 × 563,454
4. Step 4: Simplify right side
   359,184x = 317,480,410,116
5. Step 5: Solve for x
   x = 317,480,410,116/359,184
6. Step 6: Final answer
   x = 883,893.52