Finding the Third Proportional to 320,473 and 464,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,473 : 464,185.50 = 464,185.50 : x
2. Step 2: Convert to fraction form
   320,473/464,185.50 = 464,185.50/x
3. Step 3: Cross multiply
   320,473x = 464,185.50 × 464,185.50
4. Step 4: Simplify right side
   320,473x = 215,468,178,410.25
5. Step 5: Solve for x
   x = 215,468,178,410.25/320,473
6. Step 6: Final answer
   x = 672,344.25