Finding the Third Proportional to 63,696 and 133,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,696 : 133,588.50 = 133,588.50 : x
2. Step 2: Convert to fraction form
   63,696/133,588.50 = 133,588.50/x
3. Step 3: Cross multiply
   63,696x = 133,588.50 × 133,588.50
4. Step 4: Simplify right side
   63,696x = 17,845,887,332.25
5. Step 5: Solve for x
   x = 17,845,887,332.25/63,696
6. Step 6: Final answer
   x = 280,172.81