Finding the Third Proportional to 142,116 and 205,316

Step by Step Solution

1. Step 1: Write the proportion equation
   142,116 : 205,316 = 205,316 : x
2. Step 2: Convert to fraction form
   142,116/205,316 = 205,316/x
3. Step 3: Cross multiply
   142,116x = 205,316 × 205,316
4. Step 4: Simplify right side
   142,116x = 42,154,659,856
5. Step 5: Solve for x
   x = 42,154,659,856/142,116
6. Step 6: Final answer
   x = 296,621.49