Finding the Third Proportional to 72,314 and 156,694

Step by Step Solution

1. Step 1: Write the proportion equation
   72,314 : 156,694 = 156,694 : x
2. Step 2: Convert to fraction form
   72,314/156,694 = 156,694/x
3. Step 3: Cross multiply
   72,314x = 156,694 × 156,694
4. Step 4: Simplify right side
   72,314x = 24,553,009,636
5. Step 5: Solve for x
   x = 24,553,009,636/72,314
6. Step 6: Final answer
   x = 339,533.28