Finding the Third Proportional to 300,189.50 and 456,473

Step by Step Solution

1. Step 1: Write the proportion equation
   300,189.50 : 456,473 = 456,473 : x
2. Step 2: Convert to fraction form
   300,189.50/456,473 = 456,473/x
3. Step 3: Cross multiply
   300,189.50x = 456,473 × 456,473
4. Step 4: Simplify right side
   300,189.50x = 208,367,599,729
5. Step 5: Solve for x
   x = 208,367,599,729/300,189.50
6. Step 6: Final answer
   x = 694,120.21