Finding the Third Proportional to 341,465 and 501,123

Step by Step Solution

1. Step 1: Write the proportion equation
   341,465 : 501,123 = 501,123 : x
2. Step 2: Convert to fraction form
   341,465/501,123 = 501,123/x
3. Step 3: Cross multiply
   341,465x = 501,123 × 501,123
4. Step 4: Simplify right side
   341,465x = 251,124,261,129
5. Step 5: Solve for x
   x = 251,124,261,129/341,465
6. Step 6: Final answer
   x = 735,431.92