Finding the Third Proportional to 111,142.50 and 146,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,142.50 : 146,755.50 = 146,755.50 : x
2. Step 2: Convert to fraction form
   111,142.50/146,755.50 = 146,755.50/x
3. Step 3: Cross multiply
   111,142.50x = 146,755.50 × 146,755.50
4. Step 4: Simplify right side
   111,142.50x = 21,537,176,780.25
5. Step 5: Solve for x
   x = 21,537,176,780.25/111,142.50
6. Step 6: Final answer
   x = 193,779.85