Finding the Third Proportional to 199,748 and 429,142

Step by Step Solution

1. Step 1: Write the proportion equation
   199,748 : 429,142 = 429,142 : x
2. Step 2: Convert to fraction form
   199,748/429,142 = 429,142/x
3. Step 3: Cross multiply
   199,748x = 429,142 × 429,142
4. Step 4: Simplify right side
   199,748x = 184,162,856,164
5. Step 5: Solve for x
   x = 184,162,856,164/199,748
6. Step 6: Final answer
   x = 921,975.97