Finding the Third Proportional to 64,766 and 152,669

Step by Step Solution

1. Step 1: Write the proportion equation
   64,766 : 152,669 = 152,669 : x
2. Step 2: Convert to fraction form
   64,766/152,669 = 152,669/x
3. Step 3: Cross multiply
   64,766x = 152,669 × 152,669
4. Step 4: Simplify right side
   64,766x = 23,307,823,561
5. Step 5: Solve for x
   x = 23,307,823,561/64,766
6. Step 6: Final answer
   x = 359,877.46