Finding the Third Proportional to 92,126.25 and 140,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,126.25 : 140,647.50 = 140,647.50 : x
2. Step 2: Convert to fraction form
   92,126.25/140,647.50 = 140,647.50/x
3. Step 3: Cross multiply
   92,126.25x = 140,647.50 × 140,647.50
4. Step 4: Simplify right side
   92,126.25x = 19,781,719,256.25
5. Step 5: Solve for x
   x = 19,781,719,256.25/92,126.25
6. Step 6: Final answer
   x = 214,724.03