Finding the Third Proportional to 156,123 and 338,301

Step by Step Solution

1. Step 1: Write the proportion equation
   156,123 : 338,301 = 338,301 : x
2. Step 2: Convert to fraction form
   156,123/338,301 = 338,301/x
3. Step 3: Cross multiply
   156,123x = 338,301 × 338,301
4. Step 4: Simplify right side
   156,123x = 114,447,566,601
5. Step 5: Solve for x
   x = 114,447,566,601/156,123
6. Step 6: Final answer
   x = 733,060.26