Finding the Third Proportional to 52,532 and 116,620

Step by Step Solution

1. Step 1: Write the proportion equation
   52,532 : 116,620 = 116,620 : x
2. Step 2: Convert to fraction form
   52,532/116,620 = 116,620/x
3. Step 3: Cross multiply
   52,532x = 116,620 × 116,620
4. Step 4: Simplify right side
   52,532x = 13,600,224,400
5. Step 5: Solve for x
   x = 13,600,224,400/52,532
6. Step 6: Final answer
   x = 258,894.09