Finding the Third Proportional to 201,465 and 314,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,465 : 314,461.50 = 314,461.50 : x
2. Step 2: Convert to fraction form
   201,465/314,461.50 = 314,461.50/x
3. Step 3: Cross multiply
   201,465x = 314,461.50 × 314,461.50
4. Step 4: Simplify right side
   201,465x = 98,886,034,982.25
5. Step 5: Solve for x
   x = 98,886,034,982.25/201,465
6. Step 6: Final answer
   x = 490,834.81