Finding the Third Proportional to 123,100 and 267,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,100 : 267,768.50 = 267,768.50 : x
2. Step 2: Convert to fraction form
   123,100/267,768.50 = 267,768.50/x
3. Step 3: Cross multiply
   123,100x = 267,768.50 × 267,768.50
4. Step 4: Simplify right side
   123,100x = 71,699,969,592.25
5. Step 5: Solve for x
   x = 71,699,969,592.25/123,100
6. Step 6: Final answer
   x = 582,453.04