Finding the Third Proportional to 69,456 and 151,464

Step by Step Solution

1. Step 1: Write the proportion equation
   69,456 : 151,464 = 151,464 : x
2. Step 2: Convert to fraction form
   69,456/151,464 = 151,464/x
3. Step 3: Cross multiply
   69,456x = 151,464 × 151,464
4. Step 4: Simplify right side
   69,456x = 22,941,343,296
5. Step 5: Solve for x
   x = 22,941,343,296/69,456
6. Step 6: Final answer
   x = 330,300.38