Finding the Third Proportional to 272,003 and 422,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,003 : 422,212.50 = 422,212.50 : x
2. Step 2: Convert to fraction form
   272,003/422,212.50 = 422,212.50/x
3. Step 3: Cross multiply
   272,003x = 422,212.50 × 422,212.50
4. Step 4: Simplify right side
   272,003x = 178,263,395,156.25
5. Step 5: Solve for x
   x = 178,263,395,156.25/272,003
6. Step 6: Final answer
   x = 655,372.90