Finding the Third Proportional to 52,664 and 114,076

Step by Step Solution

1. Step 1: Write the proportion equation
   52,664 : 114,076 = 114,076 : x
2. Step 2: Convert to fraction form
   52,664/114,076 = 114,076/x
3. Step 3: Cross multiply
   52,664x = 114,076 × 114,076
4. Step 4: Simplify right side
   52,664x = 13,013,333,776
5. Step 5: Solve for x
   x = 13,013,333,776/52,664
6. Step 6: Final answer
   x = 247,101.13