Finding the Third Proportional to 69,338 and 152,068

Step by Step Solution

1. Step 1: Write the proportion equation
   69,338 : 152,068 = 152,068 : x
2. Step 2: Convert to fraction form
   69,338/152,068 = 152,068/x
3. Step 3: Cross multiply
   69,338x = 152,068 × 152,068
4. Step 4: Simplify right side
   69,338x = 23,124,676,624
5. Step 5: Solve for x
   x = 23,124,676,624/69,338
6. Step 6: Final answer
   x = 333,506.54