Finding the Third Proportional to 109,548 and 156,546

Step by Step Solution

1. Step 1: Write the proportion equation
   109,548 : 156,546 = 156,546 : x
2. Step 2: Convert to fraction form
   109,548/156,546 = 156,546/x
3. Step 3: Cross multiply
   109,548x = 156,546 × 156,546
4. Step 4: Simplify right side
   109,548x = 24,506,650,116
5. Step 5: Solve for x
   x = 24,506,650,116/109,548
6. Step 6: Final answer
   x = 223,706.96