Finding the Third Proportional to 71,970 and 152,709

Step by Step Solution

1. Step 1: Write the proportion equation
   71,970 : 152,709 = 152,709 : x
2. Step 2: Convert to fraction form
   71,970/152,709 = 152,709/x
3. Step 3: Cross multiply
   71,970x = 152,709 × 152,709
4. Step 4: Simplify right side
   71,970x = 23,320,038,681
5. Step 5: Solve for x
   x = 23,320,038,681/71,970
6. Step 6: Final answer
   x = 324,024.44