Finding the Third Proportional to 138,433 and 296,061

Step by Step Solution

1. Step 1: Write the proportion equation
   138,433 : 296,061 = 296,061 : x
2. Step 2: Convert to fraction form
   138,433/296,061 = 296,061/x
3. Step 3: Cross multiply
   138,433x = 296,061 × 296,061
4. Step 4: Simplify right side
   138,433x = 87,652,115,721
5. Step 5: Solve for x
   x = 87,652,115,721/138,433
6. Step 6: Final answer
   x = 633,173.56