Finding the Third Proportional to 185,943 and 406,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,943 : 406,918.50 = 406,918.50 : x
2. Step 2: Convert to fraction form
   185,943/406,918.50 = 406,918.50/x
3. Step 3: Cross multiply
   185,943x = 406,918.50 × 406,918.50
4. Step 4: Simplify right side
   185,943x = 165,582,665,642.25
5. Step 5: Solve for x
   x = 165,582,665,642.25/185,943
6. Step 6: Final answer
   x = 890,502.28