Finding the Third Proportional to 271,083 and 406,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   271,083 : 406,624.50 = 406,624.50 : x
2. Step 2: Convert to fraction form
   271,083/406,624.50 = 406,624.50/x
3. Step 3: Cross multiply
   271,083x = 406,624.50 × 406,624.50
4. Step 4: Simplify right side
   271,083x = 165,343,484,000.25
5. Step 5: Solve for x
   x = 165,343,484,000.25/271,083
6. Step 6: Final answer
   x = 609,936.75