Finding the Third Proportional to 117,865 and 254,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,865 : 254,400.50 = 254,400.50 : x
2. Step 2: Convert to fraction form
   117,865/254,400.50 = 254,400.50/x
3. Step 3: Cross multiply
   117,865x = 254,400.50 × 254,400.50
4. Step 4: Simplify right side
   117,865x = 64,719,614,400.25
5. Step 5: Solve for x
   x = 64,719,614,400.25/117,865
6. Step 6: Final answer
   x = 549,099.52