Finding the Third Proportional to 111,590 and 167,382

Step by Step Solution

1. Step 1: Write the proportion equation
   111,590 : 167,382 = 167,382 : x
2. Step 2: Convert to fraction form
   111,590/167,382 = 167,382/x
3. Step 3: Cross multiply
   111,590x = 167,382 × 167,382
4. Step 4: Simplify right side
   111,590x = 28,016,733,924
5. Step 5: Solve for x
   x = 28,016,733,924/111,590
6. Step 6: Final answer
   x = 251,068.50