Finding the Third Proportional to 191,641 and 403,142

Step by Step Solution

1. Step 1: Write the proportion equation
   191,641 : 403,142 = 403,142 : x
2. Step 2: Convert to fraction form
   191,641/403,142 = 403,142/x
3. Step 3: Cross multiply
   191,641x = 403,142 × 403,142
4. Step 4: Simplify right side
   191,641x = 162,523,472,164
5. Step 5: Solve for x
   x = 162,523,472,164/191,641
6. Step 6: Final answer
   x = 848,062.12