Finding the Third Proportional to 52,626 and 116,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,626 : 116,329.50 = 116,329.50 : x
2. Step 2: Convert to fraction form
   52,626/116,329.50 = 116,329.50/x
3. Step 3: Cross multiply
   52,626x = 116,329.50 × 116,329.50
4. Step 4: Simplify right side
   52,626x = 13,532,552,570.25
5. Step 5: Solve for x
   x = 13,532,552,570.25/52,626
6. Step 6: Final answer
   x = 257,145.76