Finding the Third Proportional to 69,735.75 and 152,464.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,735.75 : 152,464.25 = 152,464.25 : x
2. Step 2: Convert to fraction form
   69,735.75/152,464.25 = 152,464.25/x
3. Step 3: Cross multiply
   69,735.75x = 152,464.25 × 152,464.25
4. Step 4: Simplify right side
   69,735.75x = 23,245,347,528.06
5. Step 5: Solve for x
   x = 23,245,347,528.06/69,735.75
6. Step 6: Final answer
   x = 333,334.73