Finding the Third Proportional to 52,284 and 114,046

Step by Step Solution

1. Step 1: Write the proportion equation
   52,284 : 114,046 = 114,046 : x
2. Step 2: Convert to fraction form
   52,284/114,046 = 114,046/x
3. Step 3: Cross multiply
   52,284x = 114,046 × 114,046
4. Step 4: Simplify right side
   52,284x = 13,006,490,116
5. Step 5: Solve for x
   x = 13,006,490,116/52,284
6. Step 6: Final answer
   x = 248,766.16