Finding the Third Proportional to 264,804 and 392,061

Step by Step Solution

1. Step 1: Write the proportion equation
   264,804 : 392,061 = 392,061 : x
2. Step 2: Convert to fraction form
   264,804/392,061 = 392,061/x
3. Step 3: Cross multiply
   264,804x = 392,061 × 392,061
4. Step 4: Simplify right side
   264,804x = 153,711,827,721
5. Step 5: Solve for x
   x = 153,711,827,721/264,804
6. Step 6: Final answer
   x = 580,473.96