Finding the Third Proportional to 156,776 and 223,404

Step by Step Solution

1. Step 1: Write the proportion equation
   156,776 : 223,404 = 223,404 : x
2. Step 2: Convert to fraction form
   156,776/223,404 = 223,404/x
3. Step 3: Cross multiply
   156,776x = 223,404 × 223,404
4. Step 4: Simplify right side
   156,776x = 49,909,347,216
5. Step 5: Solve for x
   x = 49,909,347,216/156,776
6. Step 6: Final answer
   x = 318,348.14