Finding the Third Proportional to 100,117 and 139,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,117 : 139,969.50 = 139,969.50 : x
2. Step 2: Convert to fraction form
   100,117/139,969.50 = 139,969.50/x
3. Step 3: Cross multiply
   100,117x = 139,969.50 × 139,969.50
4. Step 4: Simplify right side
   100,117x = 19,591,460,930.25
5. Step 5: Solve for x
   x = 19,591,460,930.25/100,117
6. Step 6: Final answer
   x = 195,685.66