Finding the Third Proportional to 111,735 and 172,584

Step by Step Solution

1. Step 1: Write the proportion equation
   111,735 : 172,584 = 172,584 : x
2. Step 2: Convert to fraction form
   111,735/172,584 = 172,584/x
3. Step 3: Cross multiply
   111,735x = 172,584 × 172,584
4. Step 4: Simplify right side
   111,735x = 29,785,237,056
5. Step 5: Solve for x
   x = 29,785,237,056/111,735
6. Step 6: Final answer
   x = 266,570.34