Finding the Third Proportional to 59,463 and 123,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,463 : 123,844.50 = 123,844.50 : x
2. Step 2: Convert to fraction form
   59,463/123,844.50 = 123,844.50/x
3. Step 3: Cross multiply
   59,463x = 123,844.50 × 123,844.50
4. Step 4: Simplify right side
   59,463x = 15,337,460,180.25
5. Step 5: Solve for x
   x = 15,337,460,180.25/59,463
6. Step 6: Final answer
   x = 257,932.84