Finding the Third Proportional to 310,854 and 456,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,854 : 456,079.50 = 456,079.50 : x
2. Step 2: Convert to fraction form
   310,854/456,079.50 = 456,079.50/x
3. Step 3: Cross multiply
   310,854x = 456,079.50 × 456,079.50
4. Step 4: Simplify right side
   310,854x = 208,008,510,320.25
5. Step 5: Solve for x
   x = 208,008,510,320.25/310,854
6. Step 6: Final answer
   x = 669,151.79