Finding the Third Proportional to 139,117.50 and 196,526.25

Step by Step Solution

1. Step 1: Write the proportion equation
   139,117.50 : 196,526.25 = 196,526.25 : x
2. Step 2: Convert to fraction form
   139,117.50/196,526.25 = 196,526.25/x
3. Step 3: Cross multiply
   139,117.50x = 196,526.25 × 196,526.25
4. Step 4: Simplify right side
   139,117.50x = 38,622,566,939.06
5. Step 5: Solve for x
   x = 38,622,566,939.06/139,117.50
6. Step 6: Final answer
   x = 277,625.51