Finding the Third Proportional to 156,980 and 322,222

Step by Step Solution

1. Step 1: Write the proportion equation
   156,980 : 322,222 = 322,222 : x
2. Step 2: Convert to fraction form
   156,980/322,222 = 322,222/x
3. Step 3: Cross multiply
   156,980x = 322,222 × 322,222
4. Step 4: Simplify right side
   156,980x = 103,827,017,284
5. Step 5: Solve for x
   x = 103,827,017,284/156,980
6. Step 6: Final answer
   x = 661,402.84