Finding the Third Proportional to 64,643 and 99,846

Step by Step Solution

1. Step 1: Write the proportion equation
   64,643 : 99,846 = 99,846 : x
2. Step 2: Convert to fraction form
   64,643/99,846 = 99,846/x
3. Step 3: Cross multiply
   64,643x = 99,846 × 99,846
4. Step 4: Simplify right side
   64,643x = 9,969,223,716
5. Step 5: Solve for x
   x = 9,969,223,716/64,643
6. Step 6: Final answer
   x = 154,219.69