Finding the Third Proportional to 55,434 and 130,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,434 : 130,147.50 = 130,147.50 : x
2. Step 2: Convert to fraction form
   55,434/130,147.50 = 130,147.50/x
3. Step 3: Cross multiply
   55,434x = 130,147.50 × 130,147.50
4. Step 4: Simplify right side
   55,434x = 16,938,371,756.25
5. Step 5: Solve for x
   x = 16,938,371,756.25/55,434
6. Step 6: Final answer
   x = 305,559.26