Finding the Third Proportional to 92,569 and 140,152

Step by Step Solution

1. Step 1: Write the proportion equation
   92,569 : 140,152 = 140,152 : x
2. Step 2: Convert to fraction form
   92,569/140,152 = 140,152/x
3. Step 3: Cross multiply
   92,569x = 140,152 × 140,152
4. Step 4: Simplify right side
   92,569x = 19,642,583,104
5. Step 5: Solve for x
   x = 19,642,583,104/92,569
6. Step 6: Final answer
   x = 212,193.96