Finding the Third Proportional to 96,753 and 146,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,753 : 146,590.50 = 146,590.50 : x
2. Step 2: Convert to fraction form
   96,753/146,590.50 = 146,590.50/x
3. Step 3: Cross multiply
   96,753x = 146,590.50 × 146,590.50
4. Step 4: Simplify right side
   96,753x = 21,488,774,690.25
5. Step 5: Solve for x
   x = 21,488,774,690.25/96,753
6. Step 6: Final answer
   x = 222,099.31