Finding the Third Proportional to 116,663.25 and 180,462

Step by Step Solution

1. Step 1: Write the proportion equation
   116,663.25 : 180,462 = 180,462 : x
2. Step 2: Convert to fraction form
   116,663.25/180,462 = 180,462/x
3. Step 3: Cross multiply
   116,663.25x = 180,462 × 180,462
4. Step 4: Simplify right side
   116,663.25x = 32,566,533,444
5. Step 5: Solve for x
   x = 32,566,533,444/116,663.25
6. Step 6: Final answer
   x = 279,149.89