Finding the Third Proportional to 120,001.50 and 185,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,001.50 : 185,854.50 = 185,854.50 : x
2. Step 2: Convert to fraction form
   120,001.50/185,854.50 = 185,854.50/x
3. Step 3: Cross multiply
   120,001.50x = 185,854.50 × 185,854.50
4. Step 4: Simplify right side
   120,001.50x = 34,541,895,170.25
5. Step 5: Solve for x
   x = 34,541,895,170.25/120,001.50
6. Step 6: Final answer
   x = 287,845.53