Finding the Third Proportional to 83,116 and 183,732

Step by Step Solution

1. Step 1: Write the proportion equation
   83,116 : 183,732 = 183,732 : x
2. Step 2: Convert to fraction form
   83,116/183,732 = 183,732/x
3. Step 3: Cross multiply
   83,116x = 183,732 × 183,732
4. Step 4: Simplify right side
   83,116x = 33,757,447,824
5. Step 5: Solve for x
   x = 33,757,447,824/83,116
6. Step 6: Final answer
   x = 406,148.61