Finding the Third Proportional to 200,700 and 418,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,700 : 418,009.50 = 418,009.50 : x
2. Step 2: Convert to fraction form
   200,700/418,009.50 = 418,009.50/x
3. Step 3: Cross multiply
   200,700x = 418,009.50 × 418,009.50
4. Step 4: Simplify right side
   200,700x = 174,731,942,090.25
5. Step 5: Solve for x
   x = 174,731,942,090.25/200,700
6. Step 6: Final answer
   x = 870,612.57