Finding the Third Proportional to 51,174 and 110,123

Step by Step Solution

1. Step 1: Write the proportion equation
   51,174 : 110,123 = 110,123 : x
2. Step 2: Convert to fraction form
   51,174/110,123 = 110,123/x
3. Step 3: Cross multiply
   51,174x = 110,123 × 110,123
4. Step 4: Simplify right side
   51,174x = 12,127,075,129
5. Step 5: Solve for x
   x = 12,127,075,129/51,174
6. Step 6: Final answer
   x = 236,977.28