Finding the Third Proportional to 85,100 and 181,784

Step by Step Solution

1. Step 1: Write the proportion equation
   85,100 : 181,784 = 181,784 : x
2. Step 2: Convert to fraction form
   85,100/181,784 = 181,784/x
3. Step 3: Cross multiply
   85,100x = 181,784 × 181,784
4. Step 4: Simplify right side
   85,100x = 33,045,422,656
5. Step 5: Solve for x
   x = 33,045,422,656/85,100
6. Step 6: Final answer
   x = 388,312.84