Finding the Third Proportional to 52,679 and 114,106

Step by Step Solution

1. Step 1: Write the proportion equation
   52,679 : 114,106 = 114,106 : x
2. Step 2: Convert to fraction form
   52,679/114,106 = 114,106/x
3. Step 3: Cross multiply
   52,679x = 114,106 × 114,106
4. Step 4: Simplify right side
   52,679x = 13,020,179,236
5. Step 5: Solve for x
   x = 13,020,179,236/52,679
6. Step 6: Final answer
   x = 247,160.71