Finding the Third Proportional to 46,580 and 101,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,580 : 101,037.50 = 101,037.50 : x
2. Step 2: Convert to fraction form
   46,580/101,037.50 = 101,037.50/x
3. Step 3: Cross multiply
   46,580x = 101,037.50 × 101,037.50
4. Step 4: Simplify right side
   46,580x = 10,208,576,406.25
5. Step 5: Solve for x
   x = 10,208,576,406.25/46,580
6. Step 6: Final answer
   x = 219,162.22