Finding the Third Proportional to 302,433 and 456,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,433 : 456,079.50 = 456,079.50 : x
2. Step 2: Convert to fraction form
   302,433/456,079.50 = 456,079.50/x
3. Step 3: Cross multiply
   302,433x = 456,079.50 × 456,079.50
4. Step 4: Simplify right side
   302,433x = 208,008,510,320.25
5. Step 5: Solve for x
   x = 208,008,510,320.25/302,433
6. Step 6: Final answer
   x = 687,783.77