Finding the Third Proportional to 306,963 and 473,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   306,963 : 473,566.50 = 473,566.50 : x
2. Step 2: Convert to fraction form
   306,963/473,566.50 = 473,566.50/x
3. Step 3: Cross multiply
   306,963x = 473,566.50 × 473,566.50
4. Step 4: Simplify right side
   306,963x = 224,265,229,922.25
5. Step 5: Solve for x
   x = 224,265,229,922.25/306,963
6. Step 6: Final answer
   x = 730,593.69