Finding the Third Proportional to 185,422.50 and 406,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,422.50 : 406,921.50 = 406,921.50 : x
2. Step 2: Convert to fraction form
   185,422.50/406,921.50 = 406,921.50/x
3. Step 3: Cross multiply
   185,422.50x = 406,921.50 × 406,921.50
4. Step 4: Simplify right side
   185,422.50x = 165,585,107,162.25
5. Step 5: Solve for x
   x = 165,585,107,162.25/185,422.50
6. Step 6: Final answer
   x = 893,015.18