Finding the Third Proportional to 91,776 and 141,168

Step by Step Solution

1. Step 1: Write the proportion equation
   91,776 : 141,168 = 141,168 : x
2. Step 2: Convert to fraction form
   91,776/141,168 = 141,168/x
3. Step 3: Cross multiply
   91,776x = 141,168 × 141,168
4. Step 4: Simplify right side
   91,776x = 19,928,404,224
5. Step 5: Solve for x
   x = 19,928,404,224/91,776
6. Step 6: Final answer
   x = 217,141.78