Finding the Third Proportional to 123,053 and 181,123

Step by Step Solution

1. Step 1: Write the proportion equation
   123,053 : 181,123 = 181,123 : x
2. Step 2: Convert to fraction form
   123,053/181,123 = 181,123/x
3. Step 3: Cross multiply
   123,053x = 181,123 × 181,123
4. Step 4: Simplify right side
   123,053x = 32,805,541,129
5. Step 5: Solve for x
   x = 32,805,541,129/123,053
6. Step 6: Final answer
   x = 266,596.84