Finding the Third Proportional to 64,500 and 151,770

Step by Step Solution

1. Step 1: Write the proportion equation
   64,500 : 151,770 = 151,770 : x
2. Step 2: Convert to fraction form
   64,500/151,770 = 151,770/x
3. Step 3: Cross multiply
   64,500x = 151,770 × 151,770
4. Step 4: Simplify right side
   64,500x = 23,034,132,900
5. Step 5: Solve for x
   x = 23,034,132,900/64,500
6. Step 6: Final answer
   x = 357,118.34