Finding the Third Proportional to 52,564 and 114,840

Step by Step Solution

1. Step 1: Write the proportion equation
   52,564 : 114,840 = 114,840 : x
2. Step 2: Convert to fraction form
   52,564/114,840 = 114,840/x
3. Step 3: Cross multiply
   52,564x = 114,840 × 114,840
4. Step 4: Simplify right side
   52,564x = 13,188,225,600
5. Step 5: Solve for x
   x = 13,188,225,600/52,564
6. Step 6: Final answer
   x = 250,898.44