Finding the Third Proportional to 71,302 and 151,780

Step by Step Solution

1. Step 1: Write the proportion equation
   71,302 : 151,780 = 151,780 : x
2. Step 2: Convert to fraction form
   71,302/151,780 = 151,780/x
3. Step 3: Cross multiply
   71,302x = 151,780 × 151,780
4. Step 4: Simplify right side
   71,302x = 23,037,168,400
5. Step 5: Solve for x
   x = 23,037,168,400/71,302
6. Step 6: Final answer
   x = 323,092.88