Finding the Third Proportional to 72,542 and 151,646

Step by Step Solution

1. Step 1: Write the proportion equation
   72,542 : 151,646 = 151,646 : x
2. Step 2: Convert to fraction form
   72,542/151,646 = 151,646/x
3. Step 3: Cross multiply
   72,542x = 151,646 × 151,646
4. Step 4: Simplify right side
   72,542x = 22,996,509,316
5. Step 5: Solve for x
   x = 22,996,509,316/72,542
6. Step 6: Final answer
   x = 317,009.59