Finding the Third Proportional to 127,185 and 264,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,185 : 264,837.50 = 264,837.50 : x
2. Step 2: Convert to fraction form
   127,185/264,837.50 = 264,837.50/x
3. Step 3: Cross multiply
   127,185x = 264,837.50 × 264,837.50
4. Step 4: Simplify right side
   127,185x = 70,138,901,406.25
5. Step 5: Solve for x
   x = 70,138,901,406.25/127,185
6. Step 6: Final answer
   x = 551,471.49