Finding the Third Proportional to 468,978 and 726,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   468,978 : 726,634.50 = 726,634.50 : x
2. Step 2: Convert to fraction form
   468,978/726,634.50 = 726,634.50/x
3. Step 3: Cross multiply
   468,978x = 726,634.50 × 726,634.50
4. Step 4: Simplify right side
   468,978x = 527,997,696,590.25
5. Step 5: Solve for x
   x = 527,997,696,590.25/468,978
6. Step 6: Final answer
   x = 1,125,847.47