Finding the Third Proportional to 156,953 and 221,123

Step by Step Solution

1. Step 1: Write the proportion equation
   156,953 : 221,123 = 221,123 : x
2. Step 2: Convert to fraction form
   156,953/221,123 = 221,123/x
3. Step 3: Cross multiply
   156,953x = 221,123 × 221,123
4. Step 4: Simplify right side
   156,953x = 48,895,381,129
5. Step 5: Solve for x
   x = 48,895,381,129/156,953
6. Step 6: Final answer
   x = 311,528.81