Finding the Third Proportional to 57,349 and 123,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,349 : 123,486.50 = 123,486.50 : x
2. Step 2: Convert to fraction form
   57,349/123,486.50 = 123,486.50/x
3. Step 3: Cross multiply
   57,349x = 123,486.50 × 123,486.50
4. Step 4: Simplify right side
   57,349x = 15,248,915,682.25
5. Step 5: Solve for x
   x = 15,248,915,682.25/57,349
6. Step 6: Final answer
   x = 265,896.80