Finding the Third Proportional to 85,813 and 181,454

Step by Step Solution

1. Step 1: Write the proportion equation
   85,813 : 181,454 = 181,454 : x
2. Step 2: Convert to fraction form
   85,813/181,454 = 181,454/x
3. Step 3: Cross multiply
   85,813x = 181,454 × 181,454
4. Step 4: Simplify right side
   85,813x = 32,925,554,116
5. Step 5: Solve for x
   x = 32,925,554,116/85,813
6. Step 6: Final answer
   x = 383,689.58