Finding the Third Proportional to 201,538.50 and 314,562

Step by Step Solution

1. Step 1: Write the proportion equation
   201,538.50 : 314,562 = 314,562 : x
2. Step 2: Convert to fraction form
   201,538.50/314,562 = 314,562/x
3. Step 3: Cross multiply
   201,538.50x = 314,562 × 314,562
4. Step 4: Simplify right side
   201,538.50x = 98,949,251,844
5. Step 5: Solve for x
   x = 98,949,251,844/201,538.50
6. Step 6: Final answer
   x = 490,969.48