Finding the Third Proportional to 101,819 and 148,111

Step by Step Solution

1. Step 1: Write the proportion equation
   101,819 : 148,111 = 148,111 : x
2. Step 2: Convert to fraction form
   101,819/148,111 = 148,111/x
3. Step 3: Cross multiply
   101,819x = 148,111 × 148,111
4. Step 4: Simplify right side
   101,819x = 21,936,868,321
5. Step 5: Solve for x
   x = 21,936,868,321/101,819
6. Step 6: Final answer
   x = 215,449.65