Finding the Third Proportional to 64,768 and 152,674

Step by Step Solution

1. Step 1: Write the proportion equation
   64,768 : 152,674 = 152,674 : x
2. Step 2: Convert to fraction form
   64,768/152,674 = 152,674/x
3. Step 3: Cross multiply
   64,768x = 152,674 × 152,674
4. Step 4: Simplify right side
   64,768x = 23,309,350,276
5. Step 5: Solve for x
   x = 23,309,350,276/64,768
6. Step 6: Final answer
   x = 359,889.92