Finding the Third Proportional to 100,478.25 and 138,414

Step by Step Solution

1. Step 1: Write the proportion equation
   100,478.25 : 138,414 = 138,414 : x
2. Step 2: Convert to fraction form
   100,478.25/138,414 = 138,414/x
3. Step 3: Cross multiply
   100,478.25x = 138,414 × 138,414
4. Step 4: Simplify right side
   100,478.25x = 19,158,435,396
5. Step 5: Solve for x
   x = 19,158,435,396/100,478.25
6. Step 6: Final answer
   x = 190,672.46