Finding the Third Proportional to 312,061 and 736,410

Step by Step Solution

1. Step 1: Write the proportion equation
   312,061 : 736,410 = 736,410 : x
2. Step 2: Convert to fraction form
   312,061/736,410 = 736,410/x
3. Step 3: Cross multiply
   312,061x = 736,410 × 736,410
4. Step 4: Simplify right side
   312,061x = 542,299,688,100
5. Step 5: Solve for x
   x = 542,299,688,100/312,061
6. Step 6: Final answer
   x = 1,737,800.26