Finding the Third Proportional to 152,991 and 215,061

Step by Step Solution

1. Step 1: Write the proportion equation
   152,991 : 215,061 = 215,061 : x
2. Step 2: Convert to fraction form
   152,991/215,061 = 215,061/x
3. Step 3: Cross multiply
   152,991x = 215,061 × 215,061
4. Step 4: Simplify right side
   152,991x = 46,251,233,721
5. Step 5: Solve for x
   x = 46,251,233,721/152,991
6. Step 6: Final answer
   x = 302,313.43