Finding the Third Proportional to 91,141 and 142,685

Step by Step Solution

1. Step 1: Write the proportion equation
   91,141 : 142,685 = 142,685 : x
2. Step 2: Convert to fraction form
   91,141/142,685 = 142,685/x
3. Step 3: Cross multiply
   91,141x = 142,685 × 142,685
4. Step 4: Simplify right side
   91,141x = 20,359,009,225
5. Step 5: Solve for x
   x = 20,359,009,225/91,141
6. Step 6: Final answer
   x = 223,379.26