Finding the Third Proportional to 87,672 and 191,746

Step by Step Solution

1. Step 1: Write the proportion equation
   87,672 : 191,746 = 191,746 : x
2. Step 2: Convert to fraction form
   87,672/191,746 = 191,746/x
3. Step 3: Cross multiply
   87,672x = 191,746 × 191,746
4. Step 4: Simplify right side
   87,672x = 36,766,528,516
5. Step 5: Solve for x
   x = 36,766,528,516/87,672
6. Step 6: Final answer
   x = 419,364.55