Finding the Third Proportional to 362,136 and 563,910

Step by Step Solution

1. Step 1: Write the proportion equation
   362,136 : 563,910 = 563,910 : x
2. Step 2: Convert to fraction form
   362,136/563,910 = 563,910/x
3. Step 3: Cross multiply
   362,136x = 563,910 × 563,910
4. Step 4: Simplify right side
   362,136x = 317,994,488,100
5. Step 5: Solve for x
   x = 317,994,488,100/362,136
6. Step 6: Final answer
   x = 878,107.92