Finding the Third Proportional to 101,760 and 149,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 149,590.50 = 149,590.50 : x
2. Step 2: Convert to fraction form
   101,760/149,590.50 = 149,590.50/x
3. Step 3: Cross multiply
   101,760x = 149,590.50 × 149,590.50
4. Step 4: Simplify right side
   101,760x = 22,377,317,690.25
5. Step 5: Solve for x
   x = 22,377,317,690.25/101,760
6. Step 6: Final answer
   x = 219,902.89