Finding the Third Proportional to 64,832 and 152,640

Step by Step Solution

1. Step 1: Write the proportion equation
   64,832 : 152,640 = 152,640 : x
2. Step 2: Convert to fraction form
   64,832/152,640 = 152,640/x
3. Step 3: Cross multiply
   64,832x = 152,640 × 152,640
4. Step 4: Simplify right side
   64,832x = 23,298,969,600
5. Step 5: Solve for x
   x = 23,298,969,600/64,832
6. Step 6: Final answer
   x = 359,374.53