Finding the Third Proportional to 109,364 and 156,391

Step by Step Solution

1. Step 1: Write the proportion equation
   109,364 : 156,391 = 156,391 : x
2. Step 2: Convert to fraction form
   109,364/156,391 = 156,391/x
3. Step 3: Cross multiply
   109,364x = 156,391 × 156,391
4. Step 4: Simplify right side
   109,364x = 24,458,144,881
5. Step 5: Solve for x
   x = 24,458,144,881/109,364
6. Step 6: Final answer
   x = 223,639.82