Finding the Third Proportional to 101,782.50 and 140,640

Step by Step Solution

1. Step 1: Write the proportion equation
   101,782.50 : 140,640 = 140,640 : x
2. Step 2: Convert to fraction form
   101,782.50/140,640 = 140,640/x
3. Step 3: Cross multiply
   101,782.50x = 140,640 × 140,640
4. Step 4: Simplify right side
   101,782.50x = 19,779,609,600
5. Step 5: Solve for x
   x = 19,779,609,600/101,782.50
6. Step 6: Final answer
   x = 194,332.13