Finding the Third Proportional to 406,971 and 598,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,971 : 598,279.50 = 598,279.50 : x
2. Step 2: Convert to fraction form
   406,971/598,279.50 = 598,279.50/x
3. Step 3: Cross multiply
   406,971x = 598,279.50 × 598,279.50
4. Step 4: Simplify right side
   406,971x = 357,938,360,120.25
5. Step 5: Solve for x
   x = 357,938,360,120.25/406,971
6. Step 6: Final answer
   x = 879,518.10