Finding the Third Proportional to 115,427 and 180,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,427 : 180,429.50 = 180,429.50 : x
2. Step 2: Convert to fraction form
   115,427/180,429.50 = 180,429.50/x
3. Step 3: Cross multiply
   115,427x = 180,429.50 × 180,429.50
4. Step 4: Simplify right side
   115,427x = 32,554,804,470.25
5. Step 5: Solve for x
   x = 32,554,804,470.25/115,427
6. Step 6: Final answer
   x = 282,038.04