Finding the Third Proportional to 69,548 and 152,216

Step by Step Solution

1. Step 1: Write the proportion equation
   69,548 : 152,216 = 152,216 : x
2. Step 2: Convert to fraction form
   69,548/152,216 = 152,216/x
3. Step 3: Cross multiply
   69,548x = 152,216 × 152,216
4. Step 4: Simplify right side
   69,548x = 23,169,710,656
5. Step 5: Solve for x
   x = 23,169,710,656/69,548
6. Step 6: Final answer
   x = 333,147.04