Finding the Third Proportional to 123,051 and 181,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,051 : 181,120.50 = 181,120.50 : x
2. Step 2: Convert to fraction form
   123,051/181,120.50 = 181,120.50/x
3. Step 3: Cross multiply
   123,051x = 181,120.50 × 181,120.50
4. Step 4: Simplify right side
   123,051x = 32,804,635,520.25
5. Step 5: Solve for x
   x = 32,804,635,520.25/123,051
6. Step 6: Final answer
   x = 266,593.81