Finding the Third Proportional to 69,515 and 152,854

Step by Step Solution

1. Step 1: Write the proportion equation
   69,515 : 152,854 = 152,854 : x
2. Step 2: Convert to fraction form
   69,515/152,854 = 152,854/x
3. Step 3: Cross multiply
   69,515x = 152,854 × 152,854
4. Step 4: Simplify right side
   69,515x = 23,364,345,316
5. Step 5: Solve for x
   x = 23,364,345,316/69,515
6. Step 6: Final answer
   x = 336,105.09