Finding the Third Proportional to 302,451 and 456,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,451 : 456,106.50 = 456,106.50 : x
2. Step 2: Convert to fraction form
   302,451/456,106.50 = 456,106.50/x
3. Step 3: Cross multiply
   302,451x = 456,106.50 × 456,106.50
4. Step 4: Simplify right side
   302,451x = 208,033,139,342.25
5. Step 5: Solve for x
   x = 208,033,139,342.25/302,451
6. Step 6: Final answer
   x = 687,824.27