Finding the Third Proportional to 116,444 and 180,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,444 : 180,355.50 = 180,355.50 : x
2. Step 2: Convert to fraction form
   116,444/180,355.50 = 180,355.50/x
3. Step 3: Cross multiply
   116,444x = 180,355.50 × 180,355.50
4. Step 4: Simplify right side
   116,444x = 32,528,106,380.25
5. Step 5: Solve for x
   x = 32,528,106,380.25/116,444
6. Step 6: Final answer
   x = 279,345.49