Finding the Third Proportional to 127,437 and 178,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,437 : 178,241.50 = 178,241.50 : x
2. Step 2: Convert to fraction form
   127,437/178,241.50 = 178,241.50/x
3. Step 3: Cross multiply
   127,437x = 178,241.50 × 178,241.50
4. Step 4: Simplify right side
   127,437x = 31,770,032,322.25
5. Step 5: Solve for x
   x = 31,770,032,322.25/127,437
6. Step 6: Final answer
   x = 249,299.91