Finding the Third Proportional to 123,630.75 and 264,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,630.75 : 264,748.50 = 264,748.50 : x
2. Step 2: Convert to fraction form
   123,630.75/264,748.50 = 264,748.50/x
3. Step 3: Cross multiply
   123,630.75x = 264,748.50 × 264,748.50
4. Step 4: Simplify right side
   123,630.75x = 70,091,768,252.25
5. Step 5: Solve for x
   x = 70,091,768,252.25/123,630.75
6. Step 6: Final answer
   x = 566,944.46