Finding the Third Proportional to 51,820 and 137,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,820 : 137,147.50 = 137,147.50 : x
2. Step 2: Convert to fraction form
   51,820/137,147.50 = 137,147.50/x
3. Step 3: Cross multiply
   51,820x = 137,147.50 × 137,147.50
4. Step 4: Simplify right side
   51,820x = 18,809,436,756.25
5. Step 5: Solve for x
   x = 18,809,436,756.25/51,820
6. Step 6: Final answer
   x = 362,976.39