Finding the Third Proportional to 313,397 and 456,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,397 : 456,967.50 = 456,967.50 : x
2. Step 2: Convert to fraction form
   313,397/456,967.50 = 456,967.50/x
3. Step 3: Cross multiply
   313,397x = 456,967.50 × 456,967.50
4. Step 4: Simplify right side
   313,397x = 208,819,296,056.25
5. Step 5: Solve for x
   x = 208,819,296,056.25/313,397
6. Step 6: Final answer
   x = 666,309.17