Finding the Third Proportional to 156,322 and 242,205

Step by Step Solution

1. Step 1: Write the proportion equation
   156,322 : 242,205 = 242,205 : x
2. Step 2: Convert to fraction form
   156,322/242,205 = 242,205/x
3. Step 3: Cross multiply
   156,322x = 242,205 × 242,205
4. Step 4: Simplify right side
   156,322x = 58,663,262,025
5. Step 5: Solve for x
   x = 58,663,262,025/156,322
6. Step 6: Final answer
   x = 375,271.95