Finding the Third Proportional to 52,592 and 114,820

Step by Step Solution

1. Step 1: Write the proportion equation
   52,592 : 114,820 = 114,820 : x
2. Step 2: Convert to fraction form
   52,592/114,820 = 114,820/x
3. Step 3: Cross multiply
   52,592x = 114,820 × 114,820
4. Step 4: Simplify right side
   52,592x = 13,183,632,400
5. Step 5: Solve for x
   x = 13,183,632,400/52,592
6. Step 6: Final answer
   x = 250,677.53