Finding the Third Proportional to 64,769 and 152,678

Step by Step Solution

1. Step 1: Write the proportion equation
   64,769 : 152,678 = 152,678 : x
2. Step 2: Convert to fraction form
   64,769/152,678 = 152,678/x
3. Step 3: Cross multiply
   64,769x = 152,678 × 152,678
4. Step 4: Simplify right side
   64,769x = 23,310,571,684
5. Step 5: Solve for x
   x = 23,310,571,684/64,769
6. Step 6: Final answer
   x = 359,903.22