Finding the Third Proportional to 309,042 and 478,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,042 : 478,264.50 = 478,264.50 : x
2. Step 2: Convert to fraction form
   309,042/478,264.50 = 478,264.50/x
3. Step 3: Cross multiply
   309,042x = 478,264.50 × 478,264.50
4. Step 4: Simplify right side
   309,042x = 228,736,931,960.25
5. Step 5: Solve for x
   x = 228,736,931,960.25/309,042
6. Step 6: Final answer
   x = 740,148.37