Finding the Third Proportional to 52,962 and 116,454

Step by Step Solution

1. Step 1: Write the proportion equation
   52,962 : 116,454 = 116,454 : x
2. Step 2: Convert to fraction form
   52,962/116,454 = 116,454/x
3. Step 3: Cross multiply
   52,962x = 116,454 × 116,454
4. Step 4: Simplify right side
   52,962x = 13,561,534,116
5. Step 5: Solve for x
   x = 13,561,534,116/52,962
6. Step 6: Final answer
   x = 256,061.59