Finding the Third Proportional to 123,156.75 and 264,731.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,156.75 : 264,731.25 = 264,731.25 : x
2. Step 2: Convert to fraction form
   123,156.75/264,731.25 = 264,731.25/x
3. Step 3: Cross multiply
   123,156.75x = 264,731.25 × 264,731.25
4. Step 4: Simplify right side
   123,156.75x = 70,082,634,726.56
5. Step 5: Solve for x
   x = 70,082,634,726.56/123,156.75
6. Step 6: Final answer
   x = 569,052.32