Finding the Third Proportional to 152,205 and 242,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,205 : 242,401.50 = 242,401.50 : x
2. Step 2: Convert to fraction form
   152,205/242,401.50 = 242,401.50/x
3. Step 3: Cross multiply
   152,205x = 242,401.50 × 242,401.50
4. Step 4: Simplify right side
   152,205x = 58,758,487,202.25
5. Step 5: Solve for x
   x = 58,758,487,202.25/152,205
6. Step 6: Final answer
   x = 386,048.34