Finding the Third Proportional to 164,160 and 350,784

Step by Step Solution

1. Step 1: Write the proportion equation
   164,160 : 350,784 = 350,784 : x
2. Step 2: Convert to fraction form
   164,160/350,784 = 350,784/x
3. Step 3: Cross multiply
   164,160x = 350,784 × 350,784
4. Step 4: Simplify right side
   164,160x = 123,049,414,656
5. Step 5: Solve for x
   x = 123,049,414,656/164,160
6. Step 6: Final answer
   x = 749,570.02