Finding the Third Proportional to 72,322 and 156,946

Step by Step Solution

1. Step 1: Write the proportion equation
   72,322 : 156,946 = 156,946 : x
2. Step 2: Convert to fraction form
   72,322/156,946 = 156,946/x
3. Step 3: Cross multiply
   72,322x = 156,946 × 156,946
4. Step 4: Simplify right side
   72,322x = 24,632,046,916
5. Step 5: Solve for x
   x = 24,632,046,916/72,322
6. Step 6: Final answer
   x = 340,588.57