Finding the Third Proportional to 116,640 and 172,499.63

Step by Step Solution

1. Step 1: Write the proportion equation
   116,640 : 172,499.63 = 172,499.63 : x
2. Step 2: Convert to fraction form
   116,640/172,499.63 = 172,499.63/x
3. Step 3: Cross multiply
   116,640x = 172,499.63 × 172,499.63
4. Step 4: Simplify right side
   116,640x = 29,756,120,625.14
5. Step 5: Solve for x
   x = 29,756,120,625.14/116,640
6. Step 6: Final answer
   x = 255,110.77