Finding the Third Proportional to 57,506 and 123,760

Step by Step Solution

1. Step 1: Write the proportion equation
   57,506 : 123,760 = 123,760 : x
2. Step 2: Convert to fraction form
   57,506/123,760 = 123,760/x
3. Step 3: Cross multiply
   57,506x = 123,760 × 123,760
4. Step 4: Simplify right side
   57,506x = 15,316,537,600
5. Step 5: Solve for x
   x = 15,316,537,600/57,506
6. Step 6: Final answer
   x = 266,346.77