Finding the Third Proportional to 66,776 and 89,196

Step by Step Solution

1. Step 1: Write the proportion equation
   66,776 : 89,196 = 89,196 : x
2. Step 2: Convert to fraction form
   66,776/89,196 = 89,196/x
3. Step 3: Cross multiply
   66,776x = 89,196 × 89,196
4. Step 4: Simplify right side
   66,776x = 7,955,926,416
5. Step 5: Solve for x
   x = 7,955,926,416/66,776
6. Step 6: Final answer
   x = 119,143.50