Finding the Third Proportional to 153,243 and 253,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,243 : 253,255.50 = 253,255.50 : x
2. Step 2: Convert to fraction form
   153,243/253,255.50 = 253,255.50/x
3. Step 3: Cross multiply
   153,243x = 253,255.50 × 253,255.50
4. Step 4: Simplify right side
   153,243x = 64,138,348,280.25
5. Step 5: Solve for x
   x = 64,138,348,280.25/153,243
6. Step 6: Final answer
   x = 418,540.15