Finding the Third Proportional to 69,848 and 152,632

Step by Step Solution

1. Step 1: Write the proportion equation
   69,848 : 152,632 = 152,632 : x
2. Step 2: Convert to fraction form
   69,848/152,632 = 152,632/x
3. Step 3: Cross multiply
   69,848x = 152,632 × 152,632
4. Step 4: Simplify right side
   69,848x = 23,296,527,424
5. Step 5: Solve for x
   x = 23,296,527,424/69,848
6. Step 6: Final answer
   x = 333,531.78