Finding the Third Proportional to 69,578 and 152,284

Step by Step Solution

1. Step 1: Write the proportion equation
   69,578 : 152,284 = 152,284 : x
2. Step 2: Convert to fraction form
   69,578/152,284 = 152,284/x
3. Step 3: Cross multiply
   69,578x = 152,284 × 152,284
4. Step 4: Simplify right side
   69,578x = 23,190,416,656
5. Step 5: Solve for x
   x = 23,190,416,656/69,578
6. Step 6: Final answer
   x = 333,301.00