Finding the Third Proportional to 152,221.50 and 205,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,221.50 : 205,348.50 = 205,348.50 : x
2. Step 2: Convert to fraction form
   152,221.50/205,348.50 = 205,348.50/x
3. Step 3: Cross multiply
   152,221.50x = 205,348.50 × 205,348.50
4. Step 4: Simplify right side
   152,221.50x = 42,168,006,452.25
5. Step 5: Solve for x
   x = 42,168,006,452.25/152,221.50
6. Step 6: Final answer
   x = 277,017.42