Finding the Third Proportional to 194,064 and 417,792

Step by Step Solution

1. Step 1: Write the proportion equation
   194,064 : 417,792 = 417,792 : x
2. Step 2: Convert to fraction form
   194,064/417,792 = 417,792/x
3. Step 3: Cross multiply
   194,064x = 417,792 × 417,792
4. Step 4: Simplify right side
   194,064x = 174,550,155,264
5. Step 5: Solve for x
   x = 174,550,155,264/194,064
6. Step 6: Final answer
   x = 899,446.34