Finding the Third Proportional to 96,582 and 146,848.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,582 : 146,848.50 = 146,848.50 : x
2. Step 2: Convert to fraction form
   96,582/146,848.50 = 146,848.50/x
3. Step 3: Cross multiply
   96,582x = 146,848.50 × 146,848.50
4. Step 4: Simplify right side
   96,582x = 21,564,481,952.25
5. Step 5: Solve for x
   x = 21,564,481,952.25/96,582
6. Step 6: Final answer
   x = 223,276.41