Finding the Third Proportional to 101,184.75 and 146,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,184.75 : 146,182.50 = 146,182.50 : x
2. Step 2: Convert to fraction form
   101,184.75/146,182.50 = 146,182.50/x
3. Step 3: Cross multiply
   101,184.75x = 146,182.50 × 146,182.50
4. Step 4: Simplify right side
   101,184.75x = 21,369,323,306.25
5. Step 5: Solve for x
   x = 21,369,323,306.25/101,184.75
6. Step 6: Final answer
   x = 211,191.15