Finding the Third Proportional to 111,730 and 156,288

Step by Step Solution

1. Step 1: Write the proportion equation
   111,730 : 156,288 = 156,288 : x
2. Step 2: Convert to fraction form
   111,730/156,288 = 156,288/x
3. Step 3: Cross multiply
   111,730x = 156,288 × 156,288
4. Step 4: Simplify right side
   111,730x = 24,425,938,944
5. Step 5: Solve for x
   x = 24,425,938,944/111,730
6. Step 6: Final answer
   x = 218,615.76