Finding the Third Proportional to 114,946 and 250,584

Step by Step Solution

1. Step 1: Write the proportion equation
   114,946 : 250,584 = 250,584 : x
2. Step 2: Convert to fraction form
   114,946/250,584 = 250,584/x
3. Step 3: Cross multiply
   114,946x = 250,584 × 250,584
4. Step 4: Simplify right side
   114,946x = 62,792,341,056
5. Step 5: Solve for x
   x = 62,792,341,056/114,946
6. Step 6: Final answer
   x = 546,276.87