Finding the Third Proportional to 380,174 and 531,507

Step by Step Solution

1. Step 1: Write the proportion equation
   380,174 : 531,507 = 531,507 : x
2. Step 2: Convert to fraction form
   380,174/531,507 = 531,507/x
3. Step 3: Cross multiply
   380,174x = 531,507 × 531,507
4. Step 4: Simplify right side
   380,174x = 282,499,691,049
5. Step 5: Solve for x
   x = 282,499,691,049/380,174
6. Step 6: Final answer
   x = 743,079.99