Finding the Third Proportional to 201,632.25 and 309,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,632.25 : 309,475.50 = 309,475.50 : x
2. Step 2: Convert to fraction form
   201,632.25/309,475.50 = 309,475.50/x
3. Step 3: Cross multiply
   201,632.25x = 309,475.50 × 309,475.50
4. Step 4: Simplify right side
   201,632.25x = 95,775,085,100.25
5. Step 5: Solve for x
   x = 95,775,085,100.25/201,632.25
6. Step 6: Final answer
   x = 474,998.84