Finding the Third Proportional to 116,363 and 253,462

Step by Step Solution

1. Step 1: Write the proportion equation
   116,363 : 253,462 = 253,462 : x
2. Step 2: Convert to fraction form
   116,363/253,462 = 253,462/x
3. Step 3: Cross multiply
   116,363x = 253,462 × 253,462
4. Step 4: Simplify right side
   116,363x = 64,242,985,444
5. Step 5: Solve for x
   x = 64,242,985,444/116,363
6. Step 6: Final answer
   x = 552,091.18