Finding the Third Proportional to 64,818 and 141,633

Step by Step Solution

1. Step 1: Write the proportion equation
   64,818 : 141,633 = 141,633 : x
2. Step 2: Convert to fraction form
   64,818/141,633 = 141,633/x
3. Step 3: Cross multiply
   64,818x = 141,633 × 141,633
4. Step 4: Simplify right side
   64,818x = 20,059,906,689
5. Step 5: Solve for x
   x = 20,059,906,689/64,818
6. Step 6: Final answer
   x = 309,480.49