Finding the Third Proportional to 69,741 and 152,523

Step by Step Solution

1. Step 1: Write the proportion equation
   69,741 : 152,523 = 152,523 : x
2. Step 2: Convert to fraction form
   69,741/152,523 = 152,523/x
3. Step 3: Cross multiply
   69,741x = 152,523 × 152,523
4. Step 4: Simplify right side
   69,741x = 23,263,265,529
5. Step 5: Solve for x
   x = 23,263,265,529/69,741
6. Step 6: Final answer
   x = 333,566.56