Finding the Third Proportional to 101,196 and 147,906

Step by Step Solution

1. Step 1: Write the proportion equation
   101,196 : 147,906 = 147,906 : x
2. Step 2: Convert to fraction form
   101,196/147,906 = 147,906/x
3. Step 3: Cross multiply
   101,196x = 147,906 × 147,906
4. Step 4: Simplify right side
   101,196x = 21,876,184,836
5. Step 5: Solve for x
   x = 21,876,184,836/101,196
6. Step 6: Final answer
   x = 216,176.38