Finding the Third Proportional to 300,188 and 456,471

Step by Step Solution

1. Step 1: Write the proportion equation
   300,188 : 456,471 = 456,471 : x
2. Step 2: Convert to fraction form
   300,188/456,471 = 456,471/x
3. Step 3: Cross multiply
   300,188x = 456,471 × 456,471
4. Step 4: Simplify right side
   300,188x = 208,365,773,841
5. Step 5: Solve for x
   x = 208,365,773,841/300,188
6. Step 6: Final answer
   x = 694,117.60