Finding the Third Proportional to 208,752 and 465,314

Step by Step Solution

1. Step 1: Write the proportion equation
   208,752 : 465,314 = 465,314 : x
2. Step 2: Convert to fraction form
   208,752/465,314 = 465,314/x
3. Step 3: Cross multiply
   208,752x = 465,314 × 465,314
4. Step 4: Simplify right side
   208,752x = 216,517,118,596
5. Step 5: Solve for x
   x = 216,517,118,596/208,752
6. Step 6: Final answer
   x = 1,037,197.82