Finding the Third Proportional to 149,080.50 and 319,464

Step by Step Solution

1. Step 1: Write the proportion equation
   149,080.50 : 319,464 = 319,464 : x
2. Step 2: Convert to fraction form
   149,080.50/319,464 = 319,464/x
3. Step 3: Cross multiply
   149,080.50x = 319,464 × 319,464
4. Step 4: Simplify right side
   149,080.50x = 102,057,247,296
5. Step 5: Solve for x
   x = 102,057,247,296/149,080.50
6. Step 6: Final answer
   x = 684,578.11