Finding the Third Proportional to 152,784 and 335,064

Step by Step Solution

1. Step 1: Write the proportion equation
   152,784 : 335,064 = 335,064 : x
2. Step 2: Convert to fraction form
   152,784/335,064 = 335,064/x
3. Step 3: Cross multiply
   152,784x = 335,064 × 335,064
4. Step 4: Simplify right side
   152,784x = 112,267,884,096
5. Step 5: Solve for x
   x = 112,267,884,096/152,784
6. Step 6: Final answer
   x = 734,814.41