Finding the Third Proportional to 127,458 and 260,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,458 : 260,443.50 = 260,443.50 : x
2. Step 2: Convert to fraction form
   127,458/260,443.50 = 260,443.50/x
3. Step 3: Cross multiply
   127,458x = 260,443.50 × 260,443.50
4. Step 4: Simplify right side
   127,458x = 67,830,816,692.25
5. Step 5: Solve for x
   x = 67,830,816,692.25/127,458
6. Step 6: Final answer
   x = 532,181.71