Finding the Third Proportional to 46,615 and 101,507

Step by Step Solution

1. Step 1: Write the proportion equation
   46,615 : 101,507 = 101,507 : x
2. Step 2: Convert to fraction form
   46,615/101,507 = 101,507/x
3. Step 3: Cross multiply
   46,615x = 101,507 × 101,507
4. Step 4: Simplify right side
   46,615x = 10,303,671,049
5. Step 5: Solve for x
   x = 10,303,671,049/46,615
6. Step 6: Final answer
   x = 221,037.67