Finding the Third Proportional to 76,410 and 99,846

Step by Step Solution

1. Step 1: Write the proportion equation
   76,410 : 99,846 = 99,846 : x
2. Step 2: Convert to fraction form
   76,410/99,846 = 99,846/x
3. Step 3: Cross multiply
   76,410x = 99,846 × 99,846
4. Step 4: Simplify right side
   76,410x = 9,969,223,716
5. Step 5: Solve for x
   x = 9,969,223,716/76,410
6. Step 6: Final answer
   x = 130,470.14