Finding the Third Proportional to 91,814 and 141,572

Step by Step Solution

1. Step 1: Write the proportion equation
   91,814 : 141,572 = 141,572 : x
2. Step 2: Convert to fraction form
   91,814/141,572 = 141,572/x
3. Step 3: Cross multiply
   91,814x = 141,572 × 141,572
4. Step 4: Simplify right side
   91,814x = 20,042,631,184
5. Step 5: Solve for x
   x = 20,042,631,184/91,814
6. Step 6: Final answer
   x = 218,296.02