Finding the Third Proportional to 52,004 and 112,184

Step by Step Solution

1. Step 1: Write the proportion equation
   52,004 : 112,184 = 112,184 : x
2. Step 2: Convert to fraction form
   52,004/112,184 = 112,184/x
3. Step 3: Cross multiply
   52,004x = 112,184 × 112,184
4. Step 4: Simplify right side
   52,004x = 12,585,249,856
5. Step 5: Solve for x
   x = 12,585,249,856/52,004
6. Step 6: Final answer
   x = 242,005.42