Finding the Third Proportional to 83,592 and 180,245.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,592 : 180,245.25 = 180,245.25 : x
2. Step 2: Convert to fraction form
   83,592/180,245.25 = 180,245.25/x
3. Step 3: Cross multiply
   83,592x = 180,245.25 × 180,245.25
4. Step 4: Simplify right side
   83,592x = 32,488,350,147.56
5. Step 5: Solve for x
   x = 32,488,350,147.56/83,592
6. Step 6: Final answer
   x = 388,653.82