Finding the Third Proportional to 307,003.50 and 473,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   307,003.50 : 473,627.25 = 473,627.25 : x
2. Step 2: Convert to fraction form
   307,003.50/473,627.25 = 473,627.25/x
3. Step 3: Cross multiply
   307,003.50x = 473,627.25 × 473,627.25
4. Step 4: Simplify right side
   307,003.50x = 224,322,771,942.56
5. Step 5: Solve for x
   x = 224,322,771,942.56/307,003.50
6. Step 6: Final answer
   x = 730,684.74