Finding the Third Proportional to 156,774 and 342,996

Step by Step Solution

1. Step 1: Write the proportion equation
   156,774 : 342,996 = 342,996 : x
2. Step 2: Convert to fraction form
   156,774/342,996 = 342,996/x
3. Step 3: Cross multiply
   156,774x = 342,996 × 342,996
4. Step 4: Simplify right side
   156,774x = 117,646,256,016
5. Step 5: Solve for x
   x = 117,646,256,016/156,774
6. Step 6: Final answer
   x = 750,419.43