Finding the Third Proportional to 201,915 and 312,607.69

Step by Step Solution

1. Step 1: Write the proportion equation
   201,915 : 312,607.69 = 312,607.69 : x
2. Step 2: Convert to fraction form
   201,915/312,607.69 = 312,607.69/x
3. Step 3: Cross multiply
   201,915x = 312,607.69 × 312,607.69
4. Step 4: Simplify right side
   201,915x = 97,723,566,284.10
5. Step 5: Solve for x
   x = 97,723,566,284.10/201,915
6. Step 6: Final answer
   x = 483,983.69