Finding the Third Proportional to 91,496 and 146,114

Step by Step Solution

1. Step 1: Write the proportion equation
   91,496 : 146,114 = 146,114 : x
2. Step 2: Convert to fraction form
   91,496/146,114 = 146,114/x
3. Step 3: Cross multiply
   91,496x = 146,114 × 146,114
4. Step 4: Simplify right side
   91,496x = 21,349,300,996
5. Step 5: Solve for x
   x = 21,349,300,996/91,496
6. Step 6: Final answer
   x = 233,335.89