Finding the Third Proportional to 64,758 and 141,516

Step by Step Solution

1. Step 1: Write the proportion equation
   64,758 : 141,516 = 141,516 : x
2. Step 2: Convert to fraction form
   64,758/141,516 = 141,516/x
3. Step 3: Cross multiply
   64,758x = 141,516 × 141,516
4. Step 4: Simplify right side
   64,758x = 20,026,778,256
5. Step 5: Solve for x
   x = 20,026,778,256/64,758
6. Step 6: Final answer
   x = 309,255.66