Finding the Third Proportional to 194,520 and 429,864

Step by Step Solution

1. Step 1: Write the proportion equation
   194,520 : 429,864 = 429,864 : x
2. Step 2: Convert to fraction form
   194,520/429,864 = 429,864/x
3. Step 3: Cross multiply
   194,520x = 429,864 × 429,864
4. Step 4: Simplify right side
   194,520x = 184,783,058,496
5. Step 5: Solve for x
   x = 184,783,058,496/194,520
6. Step 6: Final answer
   x = 949,943.75