Finding the Third Proportional to 66,780 and 146,076

Step by Step Solution

1. Step 1: Write the proportion equation
   66,780 : 146,076 = 146,076 : x
2. Step 2: Convert to fraction form
   66,780/146,076 = 146,076/x
3. Step 3: Cross multiply
   66,780x = 146,076 × 146,076
4. Step 4: Simplify right side
   66,780x = 21,338,197,776
5. Step 5: Solve for x
   x = 21,338,197,776/66,780
6. Step 6: Final answer
   x = 319,529.77