Finding the Third Proportional to 111,733 and 156,293

Step by Step Solution

1. Step 1: Write the proportion equation
   111,733 : 156,293 = 156,293 : x
2. Step 2: Convert to fraction form
   111,733/156,293 = 156,293/x
3. Step 3: Cross multiply
   111,733x = 156,293 × 156,293
4. Step 4: Simplify right side
   111,733x = 24,427,501,849
5. Step 5: Solve for x
   x = 24,427,501,849/111,733
6. Step 6: Final answer
   x = 218,623.88