Finding the Third Proportional to 96,714 and 149,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,714 : 149,458.50 = 149,458.50 : x
2. Step 2: Convert to fraction form
   96,714/149,458.50 = 149,458.50/x
3. Step 3: Cross multiply
   96,714x = 149,458.50 × 149,458.50
4. Step 4: Simplify right side
   96,714x = 22,337,843,222.25
5. Step 5: Solve for x
   x = 22,337,843,222.25/96,714
6. Step 6: Final answer
   x = 230,968.04