Finding the Third Proportional to 52,340 and 114,633

Step by Step Solution

1. Step 1: Write the proportion equation
   52,340 : 114,633 = 114,633 : x
2. Step 2: Convert to fraction form
   52,340/114,633 = 114,633/x
3. Step 3: Cross multiply
   52,340x = 114,633 × 114,633
4. Step 4: Simplify right side
   52,340x = 13,140,724,689
5. Step 5: Solve for x
   x = 13,140,724,689/52,340
6. Step 6: Final answer
   x = 251,064.67