Finding the Third Proportional to 83,554 and 180,032

Step by Step Solution

1. Step 1: Write the proportion equation
   83,554 : 180,032 = 180,032 : x
2. Step 2: Convert to fraction form
   83,554/180,032 = 180,032/x
3. Step 3: Cross multiply
   83,554x = 180,032 × 180,032
4. Step 4: Simplify right side
   83,554x = 32,411,521,024
5. Step 5: Solve for x
   x = 32,411,521,024/83,554
6. Step 6: Final answer
   x = 387,911.06