Finding the Third Proportional to 142,120 and 208,572

Step by Step Solution

1. Step 1: Write the proportion equation
   142,120 : 208,572 = 208,572 : x
2. Step 2: Convert to fraction form
   142,120/208,572 = 208,572/x
3. Step 3: Cross multiply
   142,120x = 208,572 × 208,572
4. Step 4: Simplify right side
   142,120x = 43,502,279,184
5. Step 5: Solve for x
   x = 43,502,279,184/142,120
6. Step 6: Final answer
   x = 306,095.41