Finding the Third Proportional to 148,615 and 322,123

Step by Step Solution

1. Step 1: Write the proportion equation
   148,615 : 322,123 = 322,123 : x
2. Step 2: Convert to fraction form
   148,615/322,123 = 322,123/x
3. Step 3: Cross multiply
   148,615x = 322,123 × 322,123
4. Step 4: Simplify right side
   148,615x = 103,763,227,129
5. Step 5: Solve for x
   x = 103,763,227,129/148,615
6. Step 6: Final answer
   x = 698,201.58