Finding the Third Proportional to 112,464 and 174,072

Step by Step Solution

1. Step 1: Write the proportion equation
   112,464 : 174,072 = 174,072 : x
2. Step 2: Convert to fraction form
   112,464/174,072 = 174,072/x
3. Step 3: Cross multiply
   112,464x = 174,072 × 174,072
4. Step 4: Simplify right side
   112,464x = 30,301,061,184
5. Step 5: Solve for x
   x = 30,301,061,184/112,464
6. Step 6: Final answer
   x = 269,428.98