Finding the Third Proportional to 374,689.50 and 507,903

Step by Step Solution

1. Step 1: Write the proportion equation
   374,689.50 : 507,903 = 507,903 : x
2. Step 2: Convert to fraction form
   374,689.50/507,903 = 507,903/x
3. Step 3: Cross multiply
   374,689.50x = 507,903 × 507,903
4. Step 4: Simplify right side
   374,689.50x = 257,965,457,409
5. Step 5: Solve for x
   x = 257,965,457,409/374,689.50
6. Step 6: Final answer
   x = 688,477.95