Finding the Third Proportional to 302,454 and 456,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,454 : 456,112.50 = 456,112.50 : x
2. Step 2: Convert to fraction form
   302,454/456,112.50 = 456,112.50/x
3. Step 3: Cross multiply
   302,454x = 456,112.50 × 456,112.50
4. Step 4: Simplify right side
   302,454x = 208,038,612,656.25
5. Step 5: Solve for x
   x = 208,038,612,656.25/302,454
6. Step 6: Final answer
   x = 687,835.55