Finding the Third Proportional to 100,208 and 147,034

Step by Step Solution

1. Step 1: Write the proportion equation
   100,208 : 147,034 = 147,034 : x
2. Step 2: Convert to fraction form
   100,208/147,034 = 147,034/x
3. Step 3: Cross multiply
   100,208x = 147,034 × 147,034
4. Step 4: Simplify right side
   100,208x = 21,618,997,156
5. Step 5: Solve for x
   x = 21,618,997,156/100,208
6. Step 6: Final answer
   x = 215,741.23