Finding the Third Proportional to 175,164 and 362,784

Step by Step Solution

1. Step 1: Write the proportion equation
   175,164 : 362,784 = 362,784 : x
2. Step 2: Convert to fraction form
   175,164/362,784 = 362,784/x
3. Step 3: Cross multiply
   175,164x = 362,784 × 362,784
4. Step 4: Simplify right side
   175,164x = 131,612,230,656
5. Step 5: Solve for x
   x = 131,612,230,656/175,164
6. Step 6: Final answer
   x = 751,365.75