Finding the Third Proportional to 69,536 and 152,892

Step by Step Solution

1. Step 1: Write the proportion equation
   69,536 : 152,892 = 152,892 : x
2. Step 2: Convert to fraction form
   69,536/152,892 = 152,892/x
3. Step 3: Cross multiply
   69,536x = 152,892 × 152,892
4. Step 4: Simplify right side
   69,536x = 23,375,963,664
5. Step 5: Solve for x
   x = 23,375,963,664/69,536
6. Step 6: Final answer
   x = 336,170.67