Finding the Third Proportional to 152,636 and 224,381

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636 : 224,381 = 224,381 : x
2. Step 2: Convert to fraction form
   152,636/224,381 = 224,381/x
3. Step 3: Cross multiply
   152,636x = 224,381 × 224,381
4. Step 4: Simplify right side
   152,636x = 50,346,833,161
5. Step 5: Solve for x
   x = 50,346,833,161/152,636
6. Step 6: Final answer
   x = 329,849.01