Finding the Third Proportional to 120,585.75 and 146,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,585.75 : 146,086.50 = 146,086.50 : x
2. Step 2: Convert to fraction form
   120,585.75/146,086.50 = 146,086.50/x
3. Step 3: Cross multiply
   120,585.75x = 146,086.50 × 146,086.50
4. Step 4: Simplify right side
   120,585.75x = 21,341,265,482.25
5. Step 5: Solve for x
   x = 21,341,265,482.25/120,585.75
6. Step 6: Final answer
   x = 176,980.00