Finding the Third Proportional to 194,523 and 429,870

Step by Step Solution

1. Step 1: Write the proportion equation
   194,523 : 429,870 = 429,870 : x
2. Step 2: Convert to fraction form
   194,523/429,870 = 429,870/x
3. Step 3: Cross multiply
   194,523x = 429,870 × 429,870
4. Step 4: Simplify right side
   194,523x = 184,788,216,900
5. Step 5: Solve for x
   x = 184,788,216,900/194,523
6. Step 6: Final answer
   x = 949,955.62