Finding the Third Proportional to 100,656 and 138,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,656 : 138,440.50 = 138,440.50 : x
2. Step 2: Convert to fraction form
   100,656/138,440.50 = 138,440.50/x
3. Step 3: Cross multiply
   100,656x = 138,440.50 × 138,440.50
4. Step 4: Simplify right side
   100,656x = 19,165,772,040.25
5. Step 5: Solve for x
   x = 19,165,772,040.25/100,656
6. Step 6: Final answer
   x = 190,408.64