Finding the Third Proportional to 116,138 and 253,416

Step by Step Solution

1. Step 1: Write the proportion equation
   116,138 : 253,416 = 253,416 : x
2. Step 2: Convert to fraction form
   116,138/253,416 = 253,416/x
3. Step 3: Cross multiply
   116,138x = 253,416 × 253,416
4. Step 4: Simplify right side
   116,138x = 64,219,669,056
5. Step 5: Solve for x
   x = 64,219,669,056/116,138
6. Step 6: Final answer
   x = 552,960.00