Finding the Third Proportional to 76,251 and 116,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,251 : 116,644.50 = 116,644.50 : x
2. Step 2: Convert to fraction form
   76,251/116,644.50 = 116,644.50/x
3. Step 3: Cross multiply
   76,251x = 116,644.50 × 116,644.50
4. Step 4: Simplify right side
   76,251x = 13,605,939,380.25
5. Step 5: Solve for x
   x = 13,605,939,380.25/76,251
6. Step 6: Final answer
   x = 178,436.21