Finding the Third Proportional to 83,386 and 181,460

Step by Step Solution

1. Step 1: Write the proportion equation
   83,386 : 181,460 = 181,460 : x
2. Step 2: Convert to fraction form
   83,386/181,460 = 181,460/x
3. Step 3: Cross multiply
   83,386x = 181,460 × 181,460
4. Step 4: Simplify right side
   83,386x = 32,927,731,600
5. Step 5: Solve for x
   x = 32,927,731,600/83,386
6. Step 6: Final answer
   x = 394,883.21