Finding the Third Proportional to 91,746 and 141,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,746 : 141,769.75 = 141,769.75 : x
2. Step 2: Convert to fraction form
   91,746/141,769.75 = 141,769.75/x
3. Step 3: Cross multiply
   91,746x = 141,769.75 × 141,769.75
4. Step 4: Simplify right side
   91,746x = 20,098,662,015.06
5. Step 5: Solve for x
   x = 20,098,662,015.06/91,746
6. Step 6: Final answer
   x = 219,068.54