Finding the Third Proportional to 69,536 and 151,890

Step by Step Solution

1. Step 1: Write the proportion equation
   69,536 : 151,890 = 151,890 : x
2. Step 2: Convert to fraction form
   69,536/151,890 = 151,890/x
3. Step 3: Cross multiply
   69,536x = 151,890 × 151,890
4. Step 4: Simplify right side
   69,536x = 23,070,572,100
5. Step 5: Solve for x
   x = 23,070,572,100/69,536
6. Step 6: Final answer
   x = 331,778.82