Finding the Third Proportional to 127,033 and 178,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,033 : 178,405.50 = 178,405.50 : x
2. Step 2: Convert to fraction form
   127,033/178,405.50 = 178,405.50/x
3. Step 3: Cross multiply
   127,033x = 178,405.50 × 178,405.50
4. Step 4: Simplify right side
   127,033x = 31,828,522,430.25
5. Step 5: Solve for x
   x = 31,828,522,430.25/127,033
6. Step 6: Final answer
   x = 250,553.18