Finding the Third Proportional to 152,972 and 215,034

Step by Step Solution

1. Step 1: Write the proportion equation
   152,972 : 215,034 = 215,034 : x
2. Step 2: Convert to fraction form
   152,972/215,034 = 215,034/x
3. Step 3: Cross multiply
   152,972x = 215,034 × 215,034
4. Step 4: Simplify right side
   152,972x = 46,239,621,156
5. Step 5: Solve for x
   x = 46,239,621,156/152,972
6. Step 6: Final answer
   x = 302,275.06