Finding the Third Proportional to 300,528 and 468,025

Step by Step Solution

1. Step 1: Write the proportion equation
   300,528 : 468,025 = 468,025 : x
2. Step 2: Convert to fraction form
   300,528/468,025 = 468,025/x
3. Step 3: Cross multiply
   300,528x = 468,025 × 468,025
4. Step 4: Simplify right side
   300,528x = 219,047,400,625
5. Step 5: Solve for x
   x = 219,047,400,625/300,528
6. Step 6: Final answer
   x = 728,875.18