Finding the Third Proportional to 272,097 and 409,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,097 : 409,189.50 = 409,189.50 : x
2. Step 2: Convert to fraction form
   272,097/409,189.50 = 409,189.50/x
3. Step 3: Cross multiply
   272,097x = 409,189.50 × 409,189.50
4. Step 4: Simplify right side
   272,097x = 167,436,046,910.25
5. Step 5: Solve for x
   x = 167,436,046,910.25/272,097
6. Step 6: Final answer
   x = 615,354.26