Finding the Third Proportional to 156,738 and 228,546

Step by Step Solution

1. Step 1: Write the proportion equation
   156,738 : 228,546 = 228,546 : x
2. Step 2: Convert to fraction form
   156,738/228,546 = 228,546/x
3. Step 3: Cross multiply
   156,738x = 228,546 × 228,546
4. Step 4: Simplify right side
   156,738x = 52,233,274,116
5. Step 5: Solve for x
   x = 52,233,274,116/156,738
6. Step 6: Final answer
   x = 333,252.14