Finding the Third Proportional to 509,316 and 786,132

Step by Step Solution

1. Step 1: Write the proportion equation
   509,316 : 786,132 = 786,132 : x
2. Step 2: Convert to fraction form
   509,316/786,132 = 786,132/x
3. Step 3: Cross multiply
   509,316x = 786,132 × 786,132
4. Step 4: Simplify right side
   509,316x = 618,003,521,424
5. Step 5: Solve for x
   x = 618,003,521,424/509,316
6. Step 6: Final answer
   x = 1,213,398.99