Finding the Third Proportional to 72,274 and 156,772

Step by Step Solution

1. Step 1: Write the proportion equation
   72,274 : 156,772 = 156,772 : x
2. Step 2: Convert to fraction form
   72,274/156,772 = 156,772/x
3. Step 3: Cross multiply
   72,274x = 156,772 × 156,772
4. Step 4: Simplify right side
   72,274x = 24,577,459,984
5. Step 5: Solve for x
   x = 24,577,459,984/72,274
6. Step 6: Final answer
   x = 340,059.50