Finding the Third Proportional to 185,385 and 406,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,385 : 406,864.50 = 406,864.50 : x
2. Step 2: Convert to fraction form
   185,385/406,864.50 = 406,864.50/x
3. Step 3: Cross multiply
   185,385x = 406,864.50 × 406,864.50
4. Step 4: Simplify right side
   185,385x = 165,538,721,360.25
5. Step 5: Solve for x
   x = 165,538,721,360.25/185,385
6. Step 6: Final answer
   x = 892,945.61