Finding the Third Proportional to 78,124 and 161,784

Step by Step Solution

1. Step 1: Write the proportion equation
   78,124 : 161,784 = 161,784 : x
2. Step 2: Convert to fraction form
   78,124/161,784 = 161,784/x
3. Step 3: Cross multiply
   78,124x = 161,784 × 161,784
4. Step 4: Simplify right side
   78,124x = 26,174,062,656
5. Step 5: Solve for x
   x = 26,174,062,656/78,124
6. Step 6: Final answer
   x = 335,032.29