Finding the Third Proportional to 69,580 and 152,288

Step by Step Solution

1. Step 1: Write the proportion equation
   69,580 : 152,288 = 152,288 : x
2. Step 2: Convert to fraction form
   69,580/152,288 = 152,288/x
3. Step 3: Cross multiply
   69,580x = 152,288 × 152,288
4. Step 4: Simplify right side
   69,580x = 23,191,634,944
5. Step 5: Solve for x
   x = 23,191,634,944/69,580
6. Step 6: Final answer
   x = 333,308.92