Finding the Third Proportional to 138,426 and 217,476.75

Step by Step Solution

1. Step 1: Write the proportion equation
   138,426 : 217,476.75 = 217,476.75 : x
2. Step 2: Convert to fraction form
   138,426/217,476.75 = 217,476.75/x
3. Step 3: Cross multiply
   138,426x = 217,476.75 × 217,476.75
4. Step 4: Simplify right side
   138,426x = 47,296,136,790.56
5. Step 5: Solve for x
   x = 47,296,136,790.56/138,426
6. Step 6: Final answer
   x = 341,670.91