Finding the Third Proportional to 100,956 and 147,762

Step by Step Solution

1. Step 1: Write the proportion equation
   100,956 : 147,762 = 147,762 : x
2. Step 2: Convert to fraction form
   100,956/147,762 = 147,762/x
3. Step 3: Cross multiply
   100,956x = 147,762 × 147,762
4. Step 4: Simplify right side
   100,956x = 21,833,608,644
5. Step 5: Solve for x
   x = 21,833,608,644/100,956
6. Step 6: Final answer
   x = 216,268.56