Finding the Third Proportional to 114,738 and 251,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,738 : 251,638.50 = 251,638.50 : x
2. Step 2: Convert to fraction form
   114,738/251,638.50 = 251,638.50/x
3. Step 3: Cross multiply
   114,738x = 251,638.50 × 251,638.50
4. Step 4: Simplify right side
   114,738x = 63,321,934,682.25
5. Step 5: Solve for x
   x = 63,321,934,682.25/114,738
6. Step 6: Final answer
   x = 551,882.85