Finding the Third Proportional to 69,588 and 152,280

Step by Step Solution

1. Step 1: Write the proportion equation
   69,588 : 152,280 = 152,280 : x
2. Step 2: Convert to fraction form
   69,588/152,280 = 152,280/x
3. Step 3: Cross multiply
   69,588x = 152,280 × 152,280
4. Step 4: Simplify right side
   69,588x = 23,189,198,400
5. Step 5: Solve for x
   x = 23,189,198,400/69,588
6. Step 6: Final answer
   x = 333,235.59