Finding the Third Proportional to 55,984 and 123,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,984 : 123,037.50 = 123,037.50 : x
2. Step 2: Convert to fraction form
   55,984/123,037.50 = 123,037.50/x
3. Step 3: Cross multiply
   55,984x = 123,037.50 × 123,037.50
4. Step 4: Simplify right side
   55,984x = 15,138,226,406.25
5. Step 5: Solve for x
   x = 15,138,226,406.25/55,984
6. Step 6: Final answer
   x = 270,402.73