Finding the Third Proportional to 64,844 and 152,670

Step by Step Solution

1. Step 1: Write the proportion equation
   64,844 : 152,670 = 152,670 : x
2. Step 2: Convert to fraction form
   64,844/152,670 = 152,670/x
3. Step 3: Cross multiply
   64,844x = 152,670 × 152,670
4. Step 4: Simplify right side
   64,844x = 23,308,128,900
5. Step 5: Solve for x
   x = 23,308,128,900/64,844
6. Step 6: Final answer
   x = 359,449.28