Finding the Third Proportional to 200,341.50 and 286,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,341.50 : 286,468.50 = 286,468.50 : x
2. Step 2: Convert to fraction form
   200,341.50/286,468.50 = 286,468.50/x
3. Step 3: Cross multiply
   200,341.50x = 286,468.50 × 286,468.50
4. Step 4: Simplify right side
   200,341.50x = 82,064,201,492.25
5. Step 5: Solve for x
   x = 82,064,201,492.25/200,341.50
6. Step 6: Final answer
   x = 409,621.58