Finding the Third Proportional to 302,445 and 456,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,445 : 456,097.50 = 456,097.50 : x
2. Step 2: Convert to fraction form
   302,445/456,097.50 = 456,097.50/x
3. Step 3: Cross multiply
   302,445x = 456,097.50 × 456,097.50
4. Step 4: Simplify right side
   302,445x = 208,024,929,506.25
5. Step 5: Solve for x
   x = 208,024,929,506.25/302,445
6. Step 6: Final answer
   x = 687,810.77