Finding the Third Proportional to 55,288.50 and 129,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,288.50 : 129,970.50 = 129,970.50 : x
2. Step 2: Convert to fraction form
   55,288.50/129,970.50 = 129,970.50/x
3. Step 3: Cross multiply
   55,288.50x = 129,970.50 × 129,970.50
4. Step 4: Simplify right side
   55,288.50x = 16,892,330,870.25
5. Step 5: Solve for x
   x = 16,892,330,870.25/55,288.50
6. Step 6: Final answer
   x = 305,530.64