Finding the Third Proportional to 123,195.09 and 264,807.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123,195.09 : 264,807.56 = 264,807.56 : x
2. Step 2: Convert to fraction form
   123,195.09/264,807.56 = 264,807.56/x
3. Step 3: Cross multiply
   123,195.09x = 264,807.56 × 264,807.56
4. Step 4: Simplify right side
   123,195.09x = 70,123,045,157.19
5. Step 5: Solve for x
   x = 70,123,045,157.19/123,195.09
6. Step 6: Final answer
   x = 569,203.23