Finding the Third Proportional to 100,634 and 148,034

Step by Step Solution

1. Step 1: Write the proportion equation
   100,634 : 148,034 = 148,034 : x
2. Step 2: Convert to fraction form
   100,634/148,034 = 148,034/x
3. Step 3: Cross multiply
   100,634x = 148,034 × 148,034
4. Step 4: Simplify right side
   100,634x = 21,914,065,156
5. Step 5: Solve for x
   x = 21,914,065,156/100,634
6. Step 6: Final answer
   x = 217,760.05