Finding the Third Proportional to 299,274 and 437,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   299,274 : 437,746.50 = 437,746.50 : x
2. Step 2: Convert to fraction form
   299,274/437,746.50 = 437,746.50/x
3. Step 3: Cross multiply
   299,274x = 437,746.50 × 437,746.50
4. Step 4: Simplify right side
   299,274x = 191,621,998,262.25
5. Step 5: Solve for x
   x = 191,621,998,262.25/299,274
6. Step 6: Final answer
   x = 640,289.49