Finding the Third Proportional to 164,060 and 357,768

Step by Step Solution

1. Step 1: Write the proportion equation
   164,060 : 357,768 = 357,768 : x
2. Step 2: Convert to fraction form
   164,060/357,768 = 357,768/x
3. Step 3: Cross multiply
   164,060x = 357,768 × 357,768
4. Step 4: Simplify right side
   164,060x = 127,997,941,824
5. Step 5: Solve for x
   x = 127,997,941,824/164,060
6. Step 6: Final answer
   x = 780,189.82