Finding the Third Proportional to 101,792.25 and 140,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,792.25 : 140,656.50 = 140,656.50 : x
2. Step 2: Convert to fraction form
   101,792.25/140,656.50 = 140,656.50/x
3. Step 3: Cross multiply
   101,792.25x = 140,656.50 × 140,656.50
4. Step 4: Simplify right side
   101,792.25x = 19,784,250,992.25
5. Step 5: Solve for x
   x = 19,784,250,992.25/101,792.25
6. Step 6: Final answer
   x = 194,359.11