Finding the Third Proportional to 69,775 and 152,590

Step by Step Solution

1. Step 1: Write the proportion equation
   69,775 : 152,590 = 152,590 : x
2. Step 2: Convert to fraction form
   69,775/152,590 = 152,590/x
3. Step 3: Cross multiply
   69,775x = 152,590 × 152,590
4. Step 4: Simplify right side
   69,775x = 23,283,708,100
5. Step 5: Solve for x
   x = 23,283,708,100/69,775
6. Step 6: Final answer
   x = 333,697.00