Finding the Third Proportional to 91,746 and 191,784

Step by Step Solution

1. Step 1: Write the proportion equation
   91,746 : 191,784 = 191,784 : x
2. Step 2: Convert to fraction form
   91,746/191,784 = 191,784/x
3. Step 3: Cross multiply
   91,746x = 191,784 × 191,784
4. Step 4: Simplify right side
   91,746x = 36,781,102,656
5. Step 5: Solve for x
   x = 36,781,102,656/91,746
6. Step 6: Final answer
   x = 400,901.43