Finding the Third Proportional to 164,068 and 357,784

Step by Step Solution

1. Step 1: Write the proportion equation
   164,068 : 357,784 = 357,784 : x
2. Step 2: Convert to fraction form
   164,068/357,784 = 357,784/x
3. Step 3: Cross multiply
   164,068x = 357,784 × 357,784
4. Step 4: Simplify right side
   164,068x = 128,009,390,656
5. Step 5: Solve for x
   x = 128,009,390,656/164,068
6. Step 6: Final answer
   x = 780,221.56