Finding the Third Proportional to 200,475 and 308,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,475 : 308,272.50 = 308,272.50 : x
2. Step 2: Convert to fraction form
   200,475/308,272.50 = 308,272.50/x
3. Step 3: Cross multiply
   200,475x = 308,272.50 × 308,272.50
4. Step 4: Simplify right side
   200,475x = 95,031,934,256.25
5. Step 5: Solve for x
   x = 95,031,934,256.25/200,475
6. Step 6: Final answer
   x = 474,033.84