Finding the Third Proportional to 66,594 and 146,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,594 : 146,311.50 = 146,311.50 : x
2. Step 2: Convert to fraction form
   66,594/146,311.50 = 146,311.50/x
3. Step 3: Cross multiply
   66,594x = 146,311.50 × 146,311.50
4. Step 4: Simplify right side
   66,594x = 21,407,055,032.25
5. Step 5: Solve for x
   x = 21,407,055,032.25/66,594
6. Step 6: Final answer
   x = 321,456.21