Finding the Third Proportional to 300,186 and 456,468

Step by Step Solution

1. Step 1: Write the proportion equation
   300,186 : 456,468 = 456,468 : x
2. Step 2: Convert to fraction form
   300,186/456,468 = 456,468/x
3. Step 3: Cross multiply
   300,186x = 456,468 × 456,468
4. Step 4: Simplify right side
   300,186x = 208,363,035,024
5. Step 5: Solve for x
   x = 208,363,035,024/300,186
6. Step 6: Final answer
   x = 694,113.10