Finding the Third Proportional to 69,748 and 151,952

Step by Step Solution

1. Step 1: Write the proportion equation
   69,748 : 151,952 = 151,952 : x
2. Step 2: Convert to fraction form
   69,748/151,952 = 151,952/x
3. Step 3: Cross multiply
   69,748x = 151,952 × 151,952
4. Step 4: Simplify right side
   69,748x = 23,089,410,304
5. Step 5: Solve for x
   x = 23,089,410,304/69,748
6. Step 6: Final answer
   x = 331,040.46