Finding the Third Proportional to 287,280 and 456,192

Step by Step Solution

1. Step 1: Write the proportion equation
   287,280 : 456,192 = 456,192 : x
2. Step 2: Convert to fraction form
   287,280/456,192 = 456,192/x
3. Step 3: Cross multiply
   287,280x = 456,192 × 456,192
4. Step 4: Simplify right side
   287,280x = 208,111,140,864
5. Step 5: Solve for x
   x = 208,111,140,864/287,280
6. Step 6: Final answer
   x = 724,419.18