Finding the Third Proportional to 52,197 and 114,174

Step by Step Solution

1. Step 1: Write the proportion equation
   52,197 : 114,174 = 114,174 : x
2. Step 2: Convert to fraction form
   52,197/114,174 = 114,174/x
3. Step 3: Cross multiply
   52,197x = 114,174 × 114,174
4. Step 4: Simplify right side
   52,197x = 13,035,702,276
5. Step 5: Solve for x
   x = 13,035,702,276/52,197
6. Step 6: Final answer
   x = 249,740.45