Finding the Third Proportional to 88,614 and 191,142

Step by Step Solution

1. Step 1: Write the proportion equation
   88,614 : 191,142 = 191,142 : x
2. Step 2: Convert to fraction form
   88,614/191,142 = 191,142/x
3. Step 3: Cross multiply
   88,614x = 191,142 × 191,142
4. Step 4: Simplify right side
   88,614x = 36,535,264,164
5. Step 5: Solve for x
   x = 36,535,264,164/88,614
6. Step 6: Final answer
   x = 412,296.75