Finding the Third Proportional to 152,227.50 and 236,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,227.50 : 236,623.50 = 236,623.50 : x
2. Step 2: Convert to fraction form
   152,227.50/236,623.50 = 236,623.50/x
3. Step 3: Cross multiply
   152,227.50x = 236,623.50 × 236,623.50
4. Step 4: Simplify right side
   152,227.50x = 55,990,680,752.25
5. Step 5: Solve for x
   x = 55,990,680,752.25/152,227.50
6. Step 6: Final answer
   x = 367,809.24