Finding the Third Proportional to 71,781.75 and 100,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,781.75 : 100,588.50 = 100,588.50 : x
2. Step 2: Convert to fraction form
   71,781.75/100,588.50 = 100,588.50/x
3. Step 3: Cross multiply
   71,781.75x = 100,588.50 × 100,588.50
4. Step 4: Simplify right side
   71,781.75x = 10,118,046,332.25
5. Step 5: Solve for x
   x = 10,118,046,332.25/71,781.75
6. Step 6: Final answer
   x = 140,955.69