Finding the Third Proportional to 88,563 and 191,117

Step by Step Solution

1. Step 1: Write the proportion equation
   88,563 : 191,117 = 191,117 : x
2. Step 2: Convert to fraction form
   88,563/191,117 = 191,117/x
3. Step 3: Cross multiply
   88,563x = 191,117 × 191,117
4. Step 4: Simplify right side
   88,563x = 36,525,707,689
5. Step 5: Solve for x
   x = 36,525,707,689/88,563
6. Step 6: Final answer
   x = 412,426.27