Finding the Third Proportional to 73,853 and 152,061

Step by Step Solution

1. Step 1: Write the proportion equation
   73,853 : 152,061 = 152,061 : x
2. Step 2: Convert to fraction form
   73,853/152,061 = 152,061/x
3. Step 3: Cross multiply
   73,853x = 152,061 × 152,061
4. Step 4: Simplify right side
   73,853x = 23,122,547,721
5. Step 5: Solve for x
   x = 23,122,547,721/73,853
6. Step 6: Final answer
   x = 313,088.81