Finding the Third Proportional to 302,310 and 471,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,310 : 471,847.50 = 471,847.50 : x
2. Step 2: Convert to fraction form
   302,310/471,847.50 = 471,847.50/x
3. Step 3: Cross multiply
   302,310x = 471,847.50 × 471,847.50
4. Step 4: Simplify right side
   302,310x = 222,640,063,256.25
5. Step 5: Solve for x
   x = 222,640,063,256.25/302,310
6. Step 6: Final answer
   x = 736,462.78