Finding the Third Proportional to 153,464 and 333,064

Step by Step Solution

1. Step 1: Write the proportion equation
   153,464 : 333,064 = 333,064 : x
2. Step 2: Convert to fraction form
   153,464/333,064 = 333,064/x
3. Step 3: Cross multiply
   153,464x = 333,064 × 333,064
4. Step 4: Simplify right side
   153,464x = 110,931,628,096
5. Step 5: Solve for x
   x = 110,931,628,096/153,464
6. Step 6: Final answer
   x = 722,851.14