Finding the Third Proportional to 112,651 and 174,368

Step by Step Solution

1. Step 1: Write the proportion equation
   112,651 : 174,368 = 174,368 : x
2. Step 2: Convert to fraction form
   112,651/174,368 = 174,368/x
3. Step 3: Cross multiply
   112,651x = 174,368 × 174,368
4. Step 4: Simplify right side
   112,651x = 30,404,199,424
5. Step 5: Solve for x
   x = 30,404,199,424/112,651
6. Step 6: Final answer
   x = 269,897.29