Finding the Third Proportional to 52,591.50 and 114,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,591.50 : 114,820.50 = 114,820.50 : x
2. Step 2: Convert to fraction form
   52,591.50/114,820.50 = 114,820.50/x
3. Step 3: Cross multiply
   52,591.50x = 114,820.50 × 114,820.50
4. Step 4: Simplify right side
   52,591.50x = 13,183,747,220.25
5. Step 5: Solve for x
   x = 13,183,747,220.25/52,591.50
6. Step 6: Final answer
   x = 250,682.09