Finding the Third Proportional to 185,382 and 406,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,382 : 406,858.50 = 406,858.50 : x
2. Step 2: Convert to fraction form
   185,382/406,858.50 = 406,858.50/x
3. Step 3: Cross multiply
   185,382x = 406,858.50 × 406,858.50
4. Step 4: Simplify right side
   185,382x = 165,533,839,022.25
5. Step 5: Solve for x
   x = 165,533,839,022.25/185,382
6. Step 6: Final answer
   x = 892,933.72